Top Banner
The distance formula - fractions Find the distance between this simple fraction points: 1) ( -1 5 6 , -1 6 7 ) , ( - 4 3 , -3 3 7 ) 2) ( 1 7 , 7 4 ) , ( 5 6 , 3 6 7 ) 3) ( -2 1 6 , 3 4 7 ) , ( 2 3 5 , 4 1 2 ) 4) ( 3 2 5 , -1 ) , ( -4, - 7 6 ) 5) ( 2 1 5 , - 3 2 ) , ( -3 1 5 , 1 ) 6) ( -2, - 1 3 ) , ( - 10 7 , 2 ) 7) ( 1 6 , -2 ) , ( - 3 2 , 4 2 3 ) 8) ( 2, 1 7 ) , ( - 1 2 , 1 5 ) 9) ( - 1 3 , 1 1 5 ) , ( - 1 2 , 1 3 8 ) 10) ( 0, 2 3 ) , ( 5 3 , 3 5 ) 11) ( 5 3 , -2 ) , ( 3 2 , 3 2 ) 12) ( -1, - 1 4 ) , ( 5 3 , -1 ) 13) ( - 1 2 , -2 1 2 ) , ( 3 2 , 7 4 ) 14) ( 1 2 , 2 ) , ( - 6 7 , 2 ) 15) ( - 3 2 , -3 1 5 ) , ( -2 3 4 , -3 3 8 ) 16) ( 11 8 , -3 6 7 ) , ( 2 1 5 , -2 1 2 ) 17) ( 2, 4 1 2 ) , ( -3 1 5 , - 1 2 ) 18) ( -5, -3 3 8 ) , ( - 2 3 , 3 1 2 ) 19) ( 9 7 , - 1 6 ) , ( 1 3 , -2 6 7 ) 20) ( - 3 2 , - 1 4 ) , ( 3 1 2 , 1 5 ) 21) ( - 1 6 , - 7 6 ) , ( 5 4 , -2 ) 22) ( 2 3 , 3 ) , ( 2, 7 8 ) 23) ( 5 6 , 3 ) , ( - 5 7 , 2 1 4 ) 24) ( 3 1 5 , 2 3 ) , ( 4 5 7 , - 1 2 ) -1- You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-
62

The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET

Jul 24, 2020

Download

Documents

dariahiddleston
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

The distance formula - fractions

Find the distance between this simple fraction points:

1) (−1

56

, −1

67 ), (

−43

, −3

37) 2) (

17

,

74 ), (

56

, 3

67)

3) (−2

16

, 3

47 ), (2

35

, 4

12) 4) (3

25

, −1), (−4,

−76 )

5) (2

15

,

−32), (−3

15

, 1) 6) (−2,

−13), (

−107

, 2)

7) (

16

, −2), (

−32

, 4

23) 8) (2,

17 ), (

−12

,

15)

9) (

−13

, 1

15), (

−12

, 1

38 ) 10) (0,

23 ), (

53

,

35 )

11) (

53

, −2), (

32

,

32) 12) (−1,

−14), (

53

, −1)

13) (

−12

, −2

12), (

32

,

74) 14) (

12

, 2), (

−67

, 2)

15) (

−32

, −3

15), (−2

34

, −3

38) 16) (

118

, −3

67 ), (2

15

, −2

12)

17) (2, 4

12 ), (−3

15

,

−12 ) 18) (−5, −3

38 ), (

−23

, 3

12)

19) (

97

,

−16 ), (

13

, −2

67) 20) (

−32

,

−14 ), (3

12

,

15 )

21) (

−16

,

−76 ), (

54

, −2) 22) (

23

, 3), (2,

78 )

23) (

56

, 3), (

−57

, 2

14) 24) (3

15

,

23 ), (4

57

,

−12)

-1-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 2: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

25) (2

45

,

87 ), (−3

58

, −7) 26) (1

34

,

−32 ), (

23

,

−12 )

27) (−1

13

,

12 ), (1

23

, −3

37 ) 28) (2

34

, 2

67 ), (−3

38

, 2)

29) (3

13

,

45 ), (

12

,

14 ) 30) (−3

13

, 4

47 ), (

118

, −3)

31) (3

12

, 2

13 ), (−1

57

, −1) 32) (−2

12

, 4

12 ), (−2,

−35)

33) (−3

58

, 0), (3

23

, −1) 34) (3

12

, −1

56 ), (

−27

,

23)

35) (−3

58

, 3

12 ), (−1

56

, −2

34) 36) (3

27

, 4

16 ), (

−116

, 3

12 )

37) (−2

78

, 1

35 ), (3

13

,

−74) 38) (−1, 0), (2

56

,

16 )

39) (

−23

,

35 ), (

−87

, −3

47) 40) (

56

, −1), (

−45

,

−32)

41) (0, −3), (−1

13

, 2

13 ) 42) (2, 2

15 ), (1

25

,

−98)

43) (−1, 1), (

53

,

38 ) 44) (4, 5), (

37

, 6

12 )

45) (1, 3

45 ), (−2, −2) 46) (

25

, 4

38 ), (

65

, 1

12 )

47) (

34

,

12 ), (

−32

,

−14 ) 48) (

−53

, −1), (

−85

, 4

78 )

49) (−3, 2

12 ), (2

14

,

−95 ) 50) (2, 2), (

32

,

−17 )

-2-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 3: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

51) (

−12

, 2

18), (1

78

, 2

47) 52) (

−32

, 1), (

12

, −3

35 )

53) (2

17

, −3), (2,

53 ) 54) (4

67

, −1

56 ), (6, 4

16)

55) (−7

78

,

−23), (

−23

, −2

78 ) 56) (−3

38

, 0), (1

14

,

−32)

57) (

47

,

118 ), (−1, −1

12 ) 58) (1

27

,

−32 ), (

23

, 1

15)

59) (

16

, 3

15 ), (−2

25

, 3

67 ) 60) (2

56

, −2

12 ), (

14

,

−53)

61) (4

45

, −3

12 ), (

85

, −1

56 ) 62) (2

34

, 4

16 ), (

−57

,

12)

63) (2

25

, −3

15 ), (−2

12

, −1) 64) (

34

,

−23), (−8,

74)

65) (−2

23

, −2), (−3

35

, −3

13 ) 66) (3

34

, 4

27 ), (−1,

16 )

67) (4

13

, −2

14 ), (

78

, −1

14 ) 68) (0, 2), (−3

12

, 2

16)

69) (2, −5), (−1, 1)70) (

54

,

16 ), (2, 2)

71) (

32

,

−32 ), (−3

56

, −2

67 ) 72) (

43

,

107 ), (

14

, 3

34)

73) (

−117

, −3

34), (

−97

, −5

45 ) 74) (

−98

, 1

78 ), (3

14

, 0)

75) (−1,

−25 ), (1,

97 ) 76) (1, −3

56 ), (

12

, −3

25 )

-3-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 4: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

77) (−1, −3

27 ), (8,

−17) 78) (

−12

, 1), (

−12

,

35)

79) (1,

−12 ), (−2

56

, 2) 80) (

76

,

34 ), (4

16

, 1

16 )

81) (1,

−53 ), (2

14

,

14) 82) (

25

, 3

38 ), (3,

23)

83) (−6, −1), (

18

, −1

25) 84) (−1

23

,

117 ), (

14

, 2

12 )

85) (−2

13

,

−85), (

−58

,

−27 ) 86) (4

23

, −2), (−2,

18)

87) (−2

12

, 4

45 ), (2, 2

13 ) 88) (1

12

,

−54 ), (−7, −4)

89) (3

23

, 6

78 ), (1

23

,

32 ) 90) (−1

78

,

−23 ), (

−18

,

−38)

91) (−1

78

, 2

56 ), (−8,

−27 ) 92) (−2

38

, 1), (1

16

,

−54)

93) (3

58

,

56 ), (

34

,

53 ) 94) (1

56

, 5

16 ), (0, −1)

95) (2

57

, 4

12 ), (

13

, −1

17 ) 96) (−2

56

,

32 ), (4

16

, −2

25)

97) (−2

35

, −2), (3

13

,

−15 ) 98) (−3

16

, −3

12 ), (4

18

,

−32 )

99) (

−15

, 2

14), (−2

14

, 3

15) 100) (2, −5), (−2,

34)

101) (−1, 3

78 ), (

37

,

85 ) 102) (

−12

, −1

14 ), (−6, 3

56)

-4-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 5: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

103) (

−14

,

−116 ), (2, 2) 104) (

32

,

76 ), (1

14

, 2)

105) (

23

, 3

13 ), (4

78

,

−32 ) 106) (−1, 2

18 ), (

−137

, 3

14)

107) (−2, 2

45 ), (

23

, −3

16) 108) (

−18

,

−12 ), (3

58

,

34 )

109) (

12

,

−116 ), (4, 2

45) 110) (

74

, −2

23 ), (

118

, 3

34 )

111) (

−32

,

78 ), (1

45

, −3

34 ) 112) (

127

,

−13), (0,

−17)

113) (

−127

,

−75 ), (

34

, −1

35) 114) (−1, −2), (

−37

,

−32 )

115) (1

16

, 1

12 ), (

53

, −3

78 ) 116) (−1

67

,

14 ), (3

13

, 3

16)

117) (−2

16

, 3

16 ), (−1

14

, −2

16) 118) (4

14

,

12 ), (

32

, 0)

119) (2

14

,

23 ), (−3, 3

13) 120) (4

45

,

−12 ), (−1

16

, 2

14 )

121) (

34

,

−16 ), (

25

,

−32 ) 122) (−3

34

,

14 ), (−6, −2

45 )

123) (4

23

,

−87), (4

34

,

85 ) 124) (−3

13

,

32 ), (

−117

, −3

37)

125) (−3

12

, 8), (2

56

, −2

37 ) 126) (

12

, −3

12 ), (

45

,

−116 )

127) (

38

, 0), (2, 1) 128) (3

12

,

98 ), (−1

23

,

138 )

-5-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 6: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

129) (−1

38

, 1

16 ), (−2

34

, 4

78) 130) (

117

, −3

56 ), (

18

, −3

67 )

131) (

47

, 1

14 ), (

−116

, 2

38 ) 132) (1,

118 ), (2

57

,

−12 )

133) (

−57

,

−56 ), (1

56

, 2

38 ) 134) (

−116

, −3

23 ), (1

34

, 1

67 )

135) (

53

, −4

18 ), (−5,

137 ) 136) (

−15

, −3

15 ), (4, 2

16)

137) (

95

,

−13 ), (3

12

, 2

25 ) 138) (−1, 4

37 ), (

−137

, 1

12)

139) (2,

85 ), (2,

53) 140) (

−54

, 7), (5, 3

14 )

141) (

−32

,

−118 ), (−3

37

, 4

23 ) 142) (2,

−43), (2

15

,

−43 )

143) (

43

,

45 ), (0,

−34 ) 144) (

−32

,

27), (3

27

, 2

25)

145) (1

12

,

−58), (2

25

, −2

16) 146) (3

12

, −3

56 ), (−1, 7

12)

147) (−1

78

, 1

45 ), (−3

38

,

13 ) 148) (−7,

−65), (−2

23

, 0)

149) (2

58

, −2), (

25

, 2

23) 150) (3

67

, −2), (

38

, −2)

151) (3

16

, −1), (6, −2) 152) (

56

, −4), (

−16

, −1

14 )

153) (2

27

, 1

45 ), (

87

,

117 ) 154) (−6

45

,

−56 ), (

−54

,

75 )

-6-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 7: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

155) (3

25

, −1), (1,

−116 ) 156) (−3

35

, 2), (−2

58

, −3

12)

157) (2

25

, 1), (−5

23

, −1

27 ) 158) (1

34

, 6

35 ), (

34

, −1)

159) (

14

, 2

34 ), (

35

, 1

38) 160) (

43

, 4

35 ), (−1

58

,

32 )

161) (−1,

−34 ), (

12

, 2

25) 162) (

−43

, 3

16 ), (3

23

, −2)

163) (2, −1

13 ), (−2, 2) 164) (1, 3

78 ), (

15

, −3

12 )

165) (

58

,

−75 ), (−1

25

, 1) 166) (

32

,

−43), (

14

,

−58)

167) (

−87

, −2

67), (−2, 4

18 ) 168) (

−78

, 2), (4

12

, 4

12)

169) (

57

,

−53 ), (

87

, −2

58) 170) (

97

,

−12), (−2

38

,

158 )

171) (

12

, −2

34 ), (

76

,

−34) 172) (

95

, 2

37 ), (

13

,

56)

173) (

−15

,

−25 ), (2

25

,

32) 174) (

95

, −2), (

−34

,

−76)

175) (

−25

, 1

17), (

−74

, 1

12 ) 176) (2

14

,

53 ), (

15

, 2)

177) (−2

34

, −2), (2

14

,

−95 ) 178) (−1

13

, 4

12 ), (−1,

37 )

179) (

14

, 1

16 ), (1

37

,

75) 180) (−3

23

, −1

25 ), (3

58

, 2)

-7-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 8: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

181) (

12

, 3), (

14

, 2) 182) (−2, 1

16 ), (2, 4

56 )

183) (4

13

,

−32), (

56

, 4

23 ) 184) (−1

38

, 4), (5, 4

38 )

185) (

78

, −1

14 ), (0, 3

12) 186) (−3

78

,

−57 ), (2,

14 )

187) (4

37

,

53 ), (−1

23

, −8) 188) (3

47

,

34 ), (

137

, 4

14 )

189) (2, 2), (

−43

,

54) 190) (4

16

,

74 ), (

67

, 2

34 )

191) (

−43

, −3

37), (

45

, 1

56 ) 192) (

−12

, 0), (−5, 1)

193) (−2, 1

14 ), (

−12

,

45) 194) (

−75

, 2

18 ), (−7

14

, −5)

195) (

74

, −3

23 ), (0, −3) 196) (−2, 2), (−3, 4

23 )

197) (0, 1), (−2, −1)198) (−2, 5), (

12

, 1

47 )

199) (

23

,

37 ), (

−16

, −8

56) 200) (

32

,

34 ), (

18

,

−16)

Find the distance between this fraction points:

201) (

76

, 2), (−1

56

,

−9

10) 202) (

−12

,

−78 ), (

512

,

−56 )

203) (

14

, 6

78 ), (

−13

, −1

211 ) 204) (1, 4

18 ), (3

79

,

−56)

205) (−11

45

,

−43), (

19

,

−1

12) 206) (2

16

,

16 ), (

−12

,

−12 )

-8-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 9: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

207) (

−65

,

−127 ), (

89

, 6

911) 208) (−2

58

,

56 ), (6

15

, 1)

209) (−1

56

, 1

45 ), (

53

,

−43 ) 210) (2

78

, 1), (

−95

, 2

89)

211) (4

19

, 4

58 ), (

−1211

,

−38 ) 212) (−3

910

,

910 ), (−2,

17)

213) (

89

, −5), (−1

35

, 5

211) 214) (6

12

, 1), (3

25

, 2)

215) (4

111

, −1), (−2

13

,

16) 216) (

112

, 4

12 ), (

37

,

32)

217) (

12

,

−12 ), (

13

, 1

14) 218) (3

23

, 3

35 ), (−3

47

, −7

23 )

219) (6

25

,

−18), (8, 3

112 ) 220) (−1

13

,

56 ), (

109

,

23)

221) (3

25

,

−118 ), (2,

−43) 222) (4, 5

512 ), (−3

89

,

1011 )

223) (

116

, −3

49 ), (−2,

−14) 224) (−11,

311 ), (5

56

, 6

78 )

225) (1, 5

49 ), (5

13

, 2) 226) (

109

,

−139 ), (5

15

, 11)

227) (

32

,

38 ), (1

311

, −2) 228) (

15

, 1

38 ), (

13

, −3

512 )

229) (

911

,

−57 ), (

32

, −3

14) 230) (

−1112

,

32), (−12,

29)

231) (

−1011

,

−47 ), (4

17

,

−85 ) 232) (

32

,

35 ), (2, 1

512)

-9-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 10: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

233) (

−23

, −1), (4

59

, 1) 234) (

53

, −7

45 ), (2

14

,

43 )

235) (−2, −2

34 ), (1

112

, −3

38 ) 236) (

14

, 4

15 ), (1

49

,

−32)

237) (5

35

, −1

14 ), (

34

, 2) 238) (1

67

,

−85 ), (

−79

,

75 )

239) (5

58

, 0), (−1, −1

27) 240) (−1

17

, 6), (

−97

,

−27 )

241) (1

18

,

179 ), (4

710

, −1) 242) (−3

79

,

111 ), (

17

, −5)

243) (−1

110

, −1

29 ), (

910

, −12) 244) (4

411

, −2

112 ), (1

35

,

−12 )

245) (−3

1112

, 2), (0, −3

712) 246) (

712

, 1

512 ), (−2, 4

18 )

247) (2

12

, 3

23 ), (−1

12

, −1) 248) (

911

, −3

12 ), (−3

34

, 6

89)

249) (4

14

, 2

37 ), (−2,

12) 250) (

−65

, 1

57 ), (2, 3

56)

251) (3

15

,

13 ), (5

38

,

−37 ) 252) (7

14

, −1

17 ), (2, 6

311)

253) (12, −8), (6

23

, −2

49 ) 254) (

−53

, 3

67 ), (3

12

, −2

511 )

255) (

32

,

−53 ), (6

25

, 1

78 ) 256) (

53

,

−76), (

25

, 5

57 )

257) (

95

,

−75 ), (4

38

, 5

14 ) 258) (

−59

,

25), (1

12

, −2)

-10-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 11: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

259) (

59

, −1), (

611

, 4

711 ) 260) (

311

, 4

34 ), (

54

, −6)

261) (1, 6

23 ), (

27

, −1

12) 262) (−11,

−13), (

95

,

−2

11)

263) (

−12

,

−23 ), (−1

14

, 4

13 ) 264) (0, 4

12 ), (1

38

,

−12)

265) (2, 2

112 ), (

−34

,

−32) 266) (

−74

, −3

712 ), (

−1611

,

12 )

267) (2

25

, 3

34 ), (

−16

, −2

58) 268) (−3

56

, 4

19 ), (−1

56

, 1

14 )

269) (−2

56

, 5

16 ), (

−43

,

710 ) 270) (5

67

, −2), (−1

38

, 11)

271) (9

78

, 2), (

12

,

53 ) 272) (1

38

,

−139 ), (

−95

,

−9

10)

273) (−2

311

, −1

12 ), (−1

112

, −1) 274) (5

110

,

411 ), (

23

,

−1312 )

275) (2

710

, −1

911 ), (−2

34

, 2

611) 276) (−3

811

, −3

13 ), (−11,

−23)

277) (−3

23

, −1), (6, −1) 278) (−2

712

, 4

38 ), (8, 4

12)

279) (−3

12

,

−32), (

78

, 3

911 ) 280) (4

13

, 3

17 ), (

−13

,

−43)

281) (0, 2), (−2

310

,

12) 282) (1

34

, −3

49 ), (3

58

, 1

12 )

283) (−3

45

, 1), (

19

,

−85) 284) (

−107

, 1

34 ), (−2

45

, 6

311 )

-11-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 12: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

285) (0, 2), (

−16

,

138 ) 286) (

137

, 2

13 ), (

34

, 3

711 )

287) (

78

,

−12 ), (10

112

, −1) 288) (0,

13 ), (−1

38

,

−12 )

289) (

139

, −1

12 ), (

139

,

−97) 290) (2, 1

112 ), (3

79

, −2

16)

291) (

−3

11,

512 ), (

34

, 1

35) 292) (

13

, 4

811 ), (1

110

, −3

14)

293) (

12

, 6

111 ), (

67

, −5) 294) (−7, 0), (−1

57

,

1511 )

295) (0,

110 ), (

110

,

45) 296) (

−74

,

19), (

17

, 1

59 )

297) (−1

15

, −7), (−1,

27 ) 298) (4,

611 ), (−2

19

,

−65 )

299) (−1

16

,

−119 ), (

−13

, 6) 300) (4

16

, 4

57 ), (−12,

−54)

301) (1

37

, −2

38 ), (−2, −2

34 ) 302) (

78

, 2

15 ), (

43

, 1

19 )

303) (5

19

,

1211 ), (2

45

,

12) 304) (−2

110

, 0), (

19

,

43)

305) (1

310

,

−1611), (−3,

512) 306) (5

111

,

−12 ), (2,

116 )

307) (2

711

, 3

34 ), (6

19

, 0) 308) (4

12

,

−89 ), (

12

,

−1

12 )

309) (−1

12

,

−18), (5

710

,

32 ) 310) (4

13

,

−37 ), (

23

,

−89 )

-12-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 13: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

311) (1

23

,

−54), (−1

110

, 4

49) 312) (2

14

,

−109 ), (

−117

,

12 )

313) (

−45

, 1

12), (

1310

, 2

13 ) 314) (

−43

,

−2312 ), (3

112

,

1711 )

315) (

17

,

−56 ), (−2, 2

712) 316) (

−37

,

1211), (9, 1

27 )

317) (

−32

, 2

211), (1

112

, −1

712) 318) (

−58

, 4

310 ), (−1

79

,

−98)

319) (

32

,

1311 ), (−3

59

, −2

16) 320) (

310

,

−1310), (4

15

, −1

67)

321) (

−1011

, 0), (

65

, 1) 322) (

1011

, −1

310 ), (

−13

,

−5

11 )

323) (

−1712

,

12 ), (−1

112

,

611) 324) (0, 4

58 ), (4

310

, 1

23)

325) (−1, 6

47 ), (2,

1211 ) 326) (

−32

, 6

57 ), (2

23

,

12)

327) (

−75

,

76 ), (2

29

, 3

12 ) 328) (1, 3

47 ), (

111

,

34)

329) (

−74

,

53 ), (6

23

, −2

512 ) 330) (12, −1), (−3

911

, −3

16)

331) (2

56

,

23 ), (−2

111

, 1) 332) (−11

18

, −1

110 ), (

−14

, 2

910 )

333) (6

58

, −2

79 ), (−7,

−169 ) 334) (4

49

, 5

18 ), (−2

78

,

−137 )

335) (−1

49

, 2

311 ), (5

12

,

−32) 336) (5

110

,

−75 ), (5

59

, −1

910 )

-13-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 14: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

337) (−1

512

,

109 ), (3

59

,

−7

12 ) 338) (5

1112

, 1

311 ), (

811

,

57 )

339) (4

12

, 1

311 ), (3

57

,

−9

10) 340) (1

12

, 6

710 ), (

14

,

95 )

341) (−2

13

, −5), (

−9

11,

−85) 342) (5

13

,

−109 ), (−1, −11)

343) (

15

,

−1710 ), (

12

,

35 ) 344) (

32

, −1), (−2

13

,

14)

345) (4

25

,

−35), (

110

,

32) 346) (

23

, −2

59 ), (

511

, 6

25 )

347) (1,

74 ), (

25

, 2

27 ) 348) (

97

,

12 ), (

14

, −1

512)

349) (

−53

, 2

27), (2

112

, −2) 350) (

910

,

117 ), (2, −1)

351) (

−1910

, 4

27), (

−38

, 1

18 ) 352) (

411

,

137 ), (

32

,

−32)

353) (

−8

11, 2

56), (−4

38

, −1

58) 354) (−1, 2

45 ), (2

12

, −1)

355) (

−12

,

35 ), (4,

−7

12 ) 356) (

53

,

12 ), (−3

14

, −3

12 )

357) (

53

, 6

34 ), (−3

56

,

−47 ) 358) (

−74

, 5

23 ), (−2,

−32 )

359) (4

35

, 3

16 ), (

95

, −2

35 ) 360) (−2

16

, −3

16 ), (

−45

, −1

37 )

361) (−9, −1), (−2, 4

19) 362) (−1

67

,

58 ), (3

13

, 2

34)

-14-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 15: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

363) (6

17

,

−58), (−2, 5

37 ) 364) (6

79

, 4

1112 ), (

−19

, 1)

365) (5

110

,

85 ), (5

16

,

310) 366) (−1

18

, 9

911 ), (

34

,

−137 )

367) (−1

411

,

−43), (1,

−5

11) 368) (−7,

−34), (−3

18

,

−169 )

369) (−2

711

, 6), (1

12

, 1

112 ) 370) (

1112

,

56 ), (

−118

, 6

710 )

371) (1

12

, 7), (−2

27

,

−43 ) 372) (2

34

,

15 ), (

−1912

, −2

15)

373) (−7

34

,

75 ), (

23

, 1) 374) (−1

15

,

2111 ), (−1

12

, 0)

375) (

−65

,

−117 ), (1

710

, 7

37 ) 376) (

76

, −2), (

45

, 1

35)

377) (

12

,

116 ), (2

1011

, 5

58) 378) (

−118

, −2

15 ), (−1

310

,

18)

379) (

179

, −2), (1, −1) 380) (

79

, −5), (5

35

, 1)

381) (

−58

, −2

15), (

−107

,

75) 382) (

85

,

14 ), (6

18

,

−78 )

383) (

−16

, 1), (3

310

, 2

13 ) 384) (

−1912

,

14), (6

12

,

−45 )

385) (1, 1), (1

45

, 6

34 ) 386) (0, 2

12 ), (−3

12

,

−75)

387) (0,

−5

12 ), (

112

, 1

712) 388) (

−53

,

512), (4

910

, 0)

-15-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 16: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

389) (

−65

,

−8

11 ), (1

37

, −1

67 ) 390) (

25

, −1

37 ), (6

110

,

511 )

391) (

56

, 1

712 ), (

1910

, 5

78) 392) (3

56

,

−12 ), (1, 2

110)

393) (2

47

,

710 ), (4

12

, 2

110 ) 394) (6

29

, 10), (2

13

,

1112 )

395) (−1

38

,

−2111), (

910

,

1611) 396) (4

910

,

25 ), (−1, −12)

397) (

710

,

1912 ), (

27

,

−1611 ) 398) (6

1011

, 1

35 ), (

12

,

56 )

399) (3

611

, 5

35 ), (

14

, 4

29 ) 400) (

712

, −2), (

−4

11, 6

45 )

Find the distance between this little complex fraction points:

401) (1

310

, 13), (3

25

, 1

58 ) 402) (2

34

,

15 ), (

−12

,

53 )

403) (−4, 7

712 ), (−2, 3

79) 404) (2

56

, 2), (4

12

,

−139 )

405) (

−57

, −1), (

1511

, 1

49) 406) (0,

310 ), (5

56

,

−3

11 )

407) (2, −2

12 ), (

−43

,

12) 408) (

16

,

−14), (

−89

, 7

19 )

409) (−1, 8), (5

34

, −2) 410) (

1013

,

−1713), (

−32

,

−1211 )

411) (

119

,

111 ), (2

313

, 2) 412) (

−1411

, −4

34 ), (1, −1

57)

413) (−1, 6

1112 ), (−2,

53 ) 414) (

−116

,

−149 ), (

−3

10, 5

34)

-16-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 17: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

415) (

118

, 5

56 ), (

−4

13,

−2013) 416) (

−149

,

34), (

43

, 1

25 )

417) (

32

, −2), (4

712

, −5) 418) (

−7

11,

−3

10 ), (2

34

,

−23)

419) (

74

, 6

38 ), (

−13

, 2

37 ) 420) (

−32

, −12), (7, 4

58 )

421) (3

14

, 1), (

−127

, 2

25 ) 422) (−1

611

,

−3

14 ), (6, 5

1112)

423) (−2

1113

,

12 ), (−3

56

, 4

112 ) 424) (−2

58

, −1

59 ), (

−1813

, 7

910 )

425) (1

34

,

−54), (

12

, −1

12 ) 426) (−2

110

,

1211 ), (

53

, −2)

427) (−2

1011

,

32 ), (

−107

, 6

13 ) 428) (−2

413

, 8), (7

411

, 2

12)

429) (−1,

−127 ), (

−12

, 2

45) 430) (−3

910

, 2

38 ), (−1

1013

, 6

56 )

431) (−2

14

, 1), (

−25

,

−2312) 432) (

56

, 4

27 ), (

−14

, −1)

433) (−3

1213

, 0), (

−37

, 7

49 ) 434) (4

12

, 6

12 ), (7

1112

,

1513)

435) (−3

79

, −6

1112 ), (

127

, 1

411 ) 436) (

32

,

−116 ), (

−65

,

−98 )

437) (7, −3

34 ), (1

14

, 5

79 ) 438) (2, −1

710 ), (0, −3

314 )

439) (

513

, −2

14 ), (−14, −3

12) 440) (

−43

, 7), (

12

,

23)

-17-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 18: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

441) (

23

, 2

313 ), (

110

, 7

79) 442) (

1911

,

−74), (

43

, 14)

443) (−13, 4

514 ), (6

79

, 3

12 ) 444) (2, 3

511 ), (−2, 1)

445) (1, 1), (

−23

,

18) 446) (

−1413

, −2

16 ), (

−45

, 2)

447) (

1811

, 2), (2

34

, 3

611) 448) (

−138

,

712), (

−14

, 5

59 )

449) (

32

,

74 ), (

53

, −6) 450) (

−74

, −12), (5

314

,

98 )

451) (5

411

,

−4

13), (7

45

, 1

56) 452) (5

1113

, −1), (

25

,

95)

453) (5

710

, 1), (−2, −3

38) 454) (6

14

,

−45 ), (

−17

, −5)

455) (5

38

,

−74), (−2

710

, −1

811) 456) (4

813

,

1711 ), (1

211

, −1

710)

457) (−9

56

,

−76), (

23

,

−2013) 458) (7

12

, 4

23 ), (

43

,

−116 )

459) (

310

, 4

113 ), (

12

, 4

67) 460) (7

34

, −2

1314 ), (3

12

,

12)

461) (5

56

, 6

49 ), (4

35

, 12) 462) (2

12

, 2

34 ), (2

112

,

25)

463) (4

1213

, 1

18 ), (5

25

, −4

114) 464) (5

29

, 5

112 ), (

−32

,

−12)

465) (4

1112

,

1513 ), (

712

, −1) 466) (3

16

,

−1712 ), (3

1314

, −2)

-18-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 19: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

467) (

−118

, −2

38), (

−2514

,

−6

11 ) 468) (0, −3), (

−32

,

−7

11 )

469) (−8, 8), (0, 2

911) 470) (1, −1

1314 ), (−2

56

, 6

27)

471) (2, 1

14 ), (

−32

, 5

29 ) 472) (

12

,

12 ), (7

12

,

76)

473) (

−98

, 2

110), (4

713

, 7

89) 474) (

54

,

78 ), (

1910

, 3

17)

475) (

−1913

,

−45 ), (4

113

, 5

911 ) 476) (2,

−127 ), (7

1114

, 3

12)

477) (

611

, 4

713 ), (2,

−137 ) 478) (

85

,

32 ), (−1

13

, −2

16 )

479) (

−32

, 7), (1, −1

49) 480) (1, 5

16 ), (

−65

,

12 )

481) (

−2

13,

−13 ), (

−32

, −2) 482) (

17

, −2

112 ), (0, 2)

483) (−3

910

, 2

15 ), (1, −7

23 ) 484) (1

56

, −3

37 ), (1

13

,

611)

485) (

34

,

87 ), (6

57

,

35 ) 486) (

813

,

53 ), (

−16

, 2

12 )

487) (4

12

,

1513 ), (−7, 5

12) 488) (

310

, 2

311 ), (

−78

,

19 )

489) (−1

712

,

−1112), (−3

38

, −3

27) 490) (−1

16

,

23 ), (

−2513

,

−14 )

491) (−1

79

, 2

23 ), (

23

, 1) 492) (

12

,

114 ), (

−23

,

−27)

-19-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 20: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

493) (5

712

, 2), (−3

911

,

211) 494) (4

78

,

712 ), (−3

67

, 1

911)

495) (−1

16

, 3

411 ), (

43

,

−1311 ) 496) (−2,

−1910), (

54

,

−23)

497) (

−12

,

813 ), (−3

514

,

37) 498) (1

18

,

16 ), (

−139

,

2011 )

499) (

−1311

, −3), (

12

, 1

14) 500) (

514

, 6

18 ), (9

78

,

−13)

501) (

−14

, 2

114), (7

58

, 6

611) 502) (

32

, 3

712 ), (

811

, 4

56 )

503) (3, 3

514 ), (6

38

, −3

56 ) 504) (

−6

11, 4

14 ), (

−32

,

−116 )

505) (0, 2), (0,

−6

11) 506) (

−1013

, −1), (

109

, 5

45 )

507) (

710

,

−97 ), (4

712

, −11

35 ) 508) (12,

23 ), (5

114

, −2

16 )

509) (

−54

, 6

713), (

32

, 2

14 ) 510) (

−7

13, −2), (

12

, 2)

511) (14, 2

413 ), (

47

,

−53) 512) (5

56

, 3

13 ), (−6, 2

213)

513) (7

1112

,

712 ), (3

411

,

13) 514) (3

310

,

−56 ), (7

14

,

712)

515) (2

12

, 2

12 ), (1, −1) 516) (6

813

, 3

37 ), (3

513

,

−57 )

517) (6

79

, −2), (7

29

,

87) 518) (2

1112

, −8), (

107

, 2)

-20-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 21: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

519) (2

38

, 4

12 ), (−1

58

, 7

19) 520) (3

12

,

−2

11 ), (

1113

, −3

25)

521) (3

16

,

−1514), (

−138

, 1

15 ) 522) (6

34

,

−97 ), (−7, 1)

523) (4

512

, 2

110 ), (4

38

, 2) 524) (7

1314

,

−17 ), (

−3

14,

−32)

525) (

58

,

57 ), (−1

16

,

−9

11) 526) (4

12

,

1213 ), (

34

,

12)

527) (5

34

, 4

34 ), (4

12

,

12 ) 528) (

12

,

15 ), (3

13

, −3

37 )

529) (

−2714

,

27 ), (

−18

, 1

78) 530) (

2011

, −2

12 ), (

79

, 5

211 )

531) (

310

,

−12 ), (

−1511

,

−158 ) 532) (

−12

, 3

23 ), (

15

, 5

12)

533) (

−1

13,

67 ), (−1

910

, −9) 534) (

12

, −1

78 ), (

35

, 4

313 )

535) (−11, −14), (1,

16 ) 536) (

13

,

23 ), (

−75

,

12)

537) (−1, 6

14 ), (

−8

11, 6

34 ) 538) (

−12

, −6), (

−53

, 4

12 )

539) (

213

,

−32 ), (7

611

,

−13) 540) (

−32

, −3

1112 ), (−2

38

,

65)

541) (

−32

, −2

35), (0, 1

12 ) 542) (−2, 12), (0,

65)

543) (

−32

,

−1110 ), (

43

, 2

14) 544) (3

78

, 1), (−2

14

, −2

914)

-21-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 22: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

545) (−1

34

,

13 ), (

−1811

, 6

1114 ) 546) (3

112

, −2), (

12

, 4

16 )

547) (

12

, 5

512 ), (4

45

, 3

311 ) 548) (

16

,

−23), (−10,

2312)

549) (1

58

,

−43), (

811

,

−37) 550) (1

14

, 5

1011 ), (

−23

, 1)

551) (7

12

,

−1013), (5

13

,

14 ) 552) (3

711

, 5

413 ), (

1912

, −14)

553) (1

18

,

34 ), (

1112

, 1) 554) (1

114

, 6

16 ), (3

1314

,

13)

555) (6

310

,

32 ), (1

711

,

74) 556) (

34

,

53 ), (8,

−76)

557) (

−9

14, 13), (−1,

1611 ) 558) (

16

, −4), (

−34

, 2)

559) (

118

, −2), (

54

,

23) 560) (

−35

, 1

19 ), (

−25

,

1911 )

561) (

−76

,

512 ), (−2

12

,

−23) 562) (

−6

13,

45), (

310

, 7

613 )

563) (

−14

, 2

17), (6

110

,

513 ) 564) (

−23

,

95), (−2,

−117 )

565) (

−1910

, 5

23), (13, 0) 566) (

56

,

−1113), (

14

,

117 )

567) (

−2312

,

14 ), (6

59

, −1) 568) (1,

76 ), (

512

,

47 )

569) (

32

, −3

311 ), (5

38

, 7

56 ) 570) (

−1112

,

13), (

−75

, 1

78 )

-22-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 23: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

571) (

45

,

−14 ), (3

12

,

35) 572) (0, −3

57 ), (5

25

,

116 )

573) (

54

, 4

112 ), (

−34

, −1

914 ) 574) (−3

12

,

−127 ), (−3,

98 )

575) (−1

14

,

−53), (−1

1011

,

−74 ) 576) (1

112

, 5

512 ), (7

23

,

−15 )

577) (11,

35 ), (0, 7

910 ) 578) (−3

38

, −2

12 ), (−12,

23 )

579) (−3

110

, 6

12 ), (0,

−53 ) 580) (−3

711

,

−14 ), (−9, 1)

581) (−3

14

, 2

710 ), (

−49

,

−1013 ) 582) (7

1114

,

35 ), (−1

113

, −14)

583) (7

78

, 7

1112 ), (3

710

, −1

78) 584) (−9,

12 ), (2

514

,

59)

585) (

16

, −2), (4

110

, 1) 586) (−3

14

, 7

27 ), (2

49

,

311)

587) (7

313

,

−32), (

127

,

13) 588) (7

23

, 2), (−1

16

, 6

1113)

589) (

1710

, 1

1013 ), (

1811

,

−1811) 590) (

712

, 2

16 ), (−6, 4

38 )

591) (

16

,

−9

11 ), (

23

,

1114 ) 592) (

313

, −1), (2

1011

,

35)

593) (0, 1

1314 ), (3

58

,

−117 ) 594) (

1310

,

97 ), (−3

314

, −3

113 )

595) (

−1712

,

−12 ), (

29

, 3

34) 596) (

−56

,

75), (

34

,

−95)

-23-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 24: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

597) (0, −2

12 ), (

2011

, 5

110) 598) (

74

, 7

910 ), (6

89

,

−1912)

599) (

45

,

−54 ), (3, 5) 600) (

23

, −2

213 ), (

25

, 3

56 )

Find the distance between this complex fraction points:

601) (2,

711 ), (0, −1

29 ) 602) (

−97

, 6

16 ), (4

310

, 7

56 )

603) (0,

34 ), (

−29

,

1112 ) 604) (−13

34

, 7

34 ), (1, 1

79)

605) (6

112

,

14 ), (−1,

109 ) 606) (4

18

,

32 ), (

314

, 1

57 )

607) (6

910

,

−76), (

−13

, −3

16 ) 608) (6

1114

, 2

1213 ), (6

16

, 1

512 )

609) (−6, −12), (

−1914

, 4

78 ) 610) (4

1314

, −3

49 ), (1

27

,

−54 )

611) (4

56

, −3

23 ), (

−1714

,

2113 ) 612) (3

13

, −3

611 ), (

57

,

−158 )

613) (3

310

, −3

45 ), (−3

12

, 3

29) 614) (3

14

, 0), (2, 2

18 )

615) (3, 14), (−3

1314

,

12) 616) (3

56

,

−3

13 ), (−1

34

, 4

34 )

617) (2

23

, −1

18 ), (4

34

, −2

14) 618) (2

910

, 2), (1

16

,

−1711)

619) (

32

, 2), (5

14

,

37 ) 620) (2

1112

,

43 ), (−3

13

, 5

110)

621) (

−158

, 3

38), (−2, −1

25 ) 622) (

−12

, 4

1013 ), (5

613

,

−74)

-24-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 25: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

623) (

12

,

−29 ), (2, −13) 624) (

65

,

−12), (−3

12

,

53 )

625) (

−1112

,

−1511 ), (

−85

,

−43) 626) (

−32

, 6

1314 ), (4

314

, 0)

627) (−1,

27 ), (6

38

, 1

35) 628) (2,

−1712), (

−13

, 3

59 )

629) (

76

, −2

34 ), (

−1411

, 2

1114 ) 630) (

12

, −2

310 ), (4

311

, 3

511)

631) (

−118

, 1

12), (

−89

,

−7

10 ) 632) (−1,

118 ), (

45

,

−1711)

633) (

12

,

213 ), (2, 1) 634) (

−97

, −2

56 ), (3

13

, −2

611 )

635) (2

1314

,

−54), (

23

, 1) 636) (

18

, 7

710 ), (−2

910

,

23 )

637) (5

110

, 7

712 ), (−1

914

, −3

16) 638) (−1

34

,

35 ), (2

114

, −3)

639) (3

16

, −2

12 ), (1

45

,

35 ) 640) (2

914

, −5), (−12,

−34 )

641) (−2

13

,

12 ), (

65

,

−7

12) 642) (−2

110

, −3

49 ), (

15

,

−5

12)

643) (

56

, 2), (

97

,

211) 644) (−8

712

, 4

314 ), (6

37

,

−158 )

645) (−2

58

, −1

25 ), (

13

, 1

78 ) 646) (−2

23

,

−5

12 ), (

1312

, −13)

647) (

710

,

−1913 ), (2

111

,

2013) 648) (−1

512

,

56 ), (4

514

, 9)

-25-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 26: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

649) (−13,

53 ), (2

13

, −1) 650) (−1

16

,

79 ), (

149

,

−89 )

651) (

−95

, −8), (

−1613

, 6

813) 652) (−2,

14 ), (

−38

, −1

47 )

653) (

47

, 5

58 ), (0, 1) 654) (

23

, −1), (−1

711

,

−1

11 )

655) (

−34

,

−2513 ), (2

114

, 7

12 ) 656) (

−32

,

−1911 ), (−3

19

, 4

310)

657) (−4, −3

29 ), (

−1110

,

32) 658) (

53

, −3

89 ), (

1011

, 7

1213 )

659) (

2514

, −2

1314 ), (2

23

, −1

67 ) 660) (

−12

,

−43 ), (

−32

, −7)

661) (

34

, 1), (

−76

,

1311 ) 662) (

−1910

,

1112), (3

18

, −1

514)

663) (−1,

−12 ), (

−179

, 5

12) 664) (

137

, 2

710 ), (

−12

,

−2314 )

665) (−1, 0), (

−14

,

−34) 666) (6

710

,

−53 ), (

−3

14, 4

314)

667) (1

16

,

−53), (2

110

,

38 ) 668) (1

1112

,

12 ), (

25

, 5

112 )

669) (7

114

,

−15), (6

710

, 6

213) 670) (6

23

, −2), (−2

611

, −3

38)

671) (5

710

,

−34), (

−13

, −1) 672) (11

512

, 3

111 ), (2

56

,

89)

673) (5

16

,

43 ), (

13

, −3

56) 674) (4

23

,

411 ), (

211

, 7

12 )

-26-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 27: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

675) (−2

18

,

1613 ), (2

49

,

78) 676) (4

15

,

45 ), (

32

, 1)

677) (−8

112

,

−56), (

139

,

19) 678) (−2

12

, 3

19 ), (−1,

−19)

679) (4

78

,

−12), (

43

, −1

112 ) 680) (

1114

,

−1211), (

118

,

14)

681) (0, −8), (

23

, 2

25) 682) (

−35

,

97), (1

23

,

57 )

683) (2, 4

25 ), (−4

23

, −2

19 ) 684) (

−127

,

712), (

−65

,

−1213 )

685) (

1710

,

−45 ), (5

110

,

−95) 686) (

74

, 7

12 ), (7

613

, −12

110)

687) (−1, 2), (

38

, 6

34) 688) (

57

, −3

18 ), (1, 2

313 )

689) (7, −11), (

43

, 0) 690) (11, −1), (

127

,

−12 )

691) (

25

, −1

13 ), (7

413

, 1) 692) (−2, 1

114 ), (

−35

,

−12 )

693) (

27

,

−23 ), (

−1110

,

56 ) 694) (

−13

, 5

512 ), (5

16

,

14)

695) (

−1

10, 3

34), (4

12

, −3

38) 696) (−1

712

,

1114 ), (

113

,

−119 )

697) (1

16

,

110 ), (3

311

,

53) 698) (1

23

, 1

25 ), (4

67

, 7

16 )

699) (10

29

,

74 ), (−2,

14 ) 700) (

15

, 1

512 ), (−1,

−117 )

-27-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 28: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

Find the distance between this little complex fraction points:

701) (1

1314

, 1

27 ), (6

27

, 7

12) 702) (

512

, 1

613 ), (5

1114

,

19 )

703) (1

38

, 7), (

−34

,

−79) 704) (

25

,

−14), (6

19

, 7

15)

705) (

23

,

32 ), (

−85

, −4) 706) (

512

,

−47), (

−74

,

2013)

707) (

314

, 1

512 ), (7

12

, −1) 708) (−2

38

,

137 ), (

−74

,

12 )

709) (5

910

, −3

23 ), (

1114

, 3

45 ) 710) (10

25

,

2314 ), (

−53

, 7

37)

711) (

−37

,

43 ), (−7, 0) 712) (−1, 0), (5

12

,

54 )

713) (−1

37

, 2), (7

13

, −3

18 ) 714) (

45

,

67 ), (−12,

−32)

715) (2, 6

56 ), (

14

,

59 ) 716) (13, 6

59 ), (−12,

−54 )

717) (

1114

, 2), (5

89

, 4

1112) 718) (

13

, 4

710 ), (−3

314

,

−56)

719) (

−12

, −1

67), (6

16

,

32 ) 720) (

14

, −1

113 ), (

23

, −3)

721) (

23

, −9), (

1712

,

−53 ) 722) (2, 1

110 ), (2,

−43 )

723) (−7, 2

56 ), (3

12

, 3

511 ) 724) (

45

,

78 ), (−2

38

, 1

12 )

725) (

54

,

57 ), (6

34

, 7

1013) 726) (

−32

, 0), (

12

,

311)

-28-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 29: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

727) (−3

23

, −6

89 ), (5

35

, 0) 728) (7

1112

, 2), (2

1114

,

−32)

729) (7

58

,

−1813), (4

12

, 5

12) 730) (−3

15

, 2

811 ), (−3

712

,

32)

731) (5

1114

,

1411 ), (4

12

, 4

16 ) 732) (7

18

, 3

1213 ), (−3

1112

, −2

16 )

733) (7

211

, 6

314 ), (

17

,

−78 ) 734) (6

25

, 3

18 ), (

−23

,

112)

735) (7

57

,

75 ), (2,

−12) 736) (7

514

, 1), (6

17

, 5

78)

737) (2

38

,

14 ), (

97

, 6

56) 738) (6

47

, 3

67 ), (3

47

,

−17 )

739) (2

710

,

−2

13), (

211

, 6

1114 ) 740) (6

25

, 3

413 ), (

43

, 12

514)

741) (5

914

,

38 ), (

−34

,

−45) 742) (−2,

−1912), (−2

711

,

−37 )

743) (−1, 5

15 ), (

−25

, −3

45 ) 744) (

−54

, 6

310 ), (5

25

, −3)

745) (

−97

,

53 ), (

−19

, 7

67) 746) (

−13

,

−32 ), (−1

15

,

12 )

747) (1,

514 ), (0, −3

12 ) 748) (1, 1

1114 ), (1, 2

1314 )

749) (

−75

, −1

56), (

−19

, 4

35 ) 750) (

34

,

23 ), (

−23

,

117 )

751) (2,

−54 ), (−1

911

,

1110) 752) (2,

56 ), (−3

29

, −6)

-29-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 30: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

753) (2, 4

67 ), (5

38

, 7

12 ) 754) (

−54

,

85), (

−74

,

−23 )

755) (

−9

14, −3

710), (

−1710

, −2

12 ) 756) (

138

, 5

13 ), (

59

,

−13 )

757) (6,

−32 ), (

32

,

−25 ) 758) (5

712

, 3

16 ), (7

12

, 2

13 )

759) (3

15

, 5

12 ), (5

57

,

53 ) 760) (4

514

, 5

914 ), (−1

16

,

−12 )

761) (3

78

, −1), (−2

910

, 7

1113 ) 762) (3

910

, 0), (

−12

, 6

79)

763) (2

25

,

−1

12), (5

12

, 5

14) 764) (−14,

−79), (

−116

, 1)

765) (−3

914

, −2), (6

14

, 6

12 ) 766) (7

110

, 7

16 ), (

25

,

−12)

767) (2

23

, −2

79 ), (−3

56

, 2

14) 768) (1

613

,

54 ), (

−89

, 7

12)

769) (2

27

,

1211 ), (5

18

,

−57 ) 770) (14

23

,

16 ), (−1

15

, −1)

771) (2

1114

,

74 ), (

−9

13,

−9

10) 772) (1

310

,

−25 ), (

−1211

,

15 )

773) (

137

,

−27 ), (4

910

,

13) 774) (

13

,

−117 ), (

−32

, 7

15 )

775) (

43

, 5

1112 ), (7

112

, 5

25 ) 776) (0, −3

15 ), (

−27

, 0)

777) (−2, −2

710 ), (4

111

, −3

12 ) 778) (

54

, 2), (1

14

,

12)

-30-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 31: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

779) (

−149

, 8), (

1312

,

12 ) 780) (

−47

, 5

18 ), (

12

, 11

23)

781) (

−53

,

−53 ), (1

12

,

−3

13 ) 782) (−1,

811 ), (1

310

, −2

78 )

783) (

−138

, −2), (−1

58

, −1) 784) (

−34

,

149 ), (

−35

, 6

512 )

785) (

914

, −2

314 ), (

23

, −3

112) 786) (

−7

11,

−1

12 ), (2

13

, 7

16)

787) (

−95

, −2), (1,

−127 ) 788) (−11, −2

23 ), (

1013

,

32)

789) (−2

13

, 1), (5

13

,

53) 790) (−1

17

,

158 ), (

56

, −3

38 )

791) (−2

710

, 5

710 ), (

−34

,

1114 ) 792) (−3

57

,

−95 ), (

−12

, 0)

793) (−2

25

, 5

611 ), (

−57

,

43 ) 794) (1

1114

,

43 ), (

38

,

−17 )

795) (−2

23

,

−1813), (0, 2

56 ) 796) (1

710

, −1

79 ), (

138

, 7

47)

797) (−3

27

, −2

910 ), (7

35

,

−2113) 798) (−3

112

,

1613 ), (3

23

,

−1114)

799) (−3

59

, 6

23 ), (2, 1

1314 ) 800) (7

23

, 0), (5

56

, 3

58)

-31-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 32: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 33: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 34: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 35: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 36: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

103) (

−14

,

−116 ), (2, 2)

4.445

104) (

32

,

76 ), (1

14

, 2)0.87

105) (

23

, 3

13 ), (4

78

,

−32 )

6.409

106) (−1, 2

18 ), (

−137

, 3

14)

1.414

107) (−2, 2

45 ), (

23

, −3

16)

6.535

108) (

−18

,

−12 ), (3

58

,

34 )

3.953

109) (

12

,

−116 ), (4, 2

45)

5.807

110) (

74

, −2

23 ), (

118

, 3

34 )

6.428

111) (

−32

,

78 ), (1

45

, −3

34 )

5.682

112) (

127

,

−13), (0,

−17)

1.725

113) (

−127

,

−75 ), (

34

, −1

35)

2.472

114) (−1, −2), (

−37

,

−32 )

0.759

115) (1

16

, 1

12 ), (

53

, −3

78 )

5.398

116) (−1

67

,

14 ), (3

13

, 3

16)

5.954

117) (−2

16

, 3

16 ), (−1

14

, −2

16)

5.412

118) (4

14

,

12 ), (

32

, 0)2.795

119) (2

14

,

23 ), (−3, 3

13)

5.888

120) (4

45

,

−12 ), (−1

16

, 2

14 )

6.57

121) (

34

,

−16 ), (

25

,

−32 )

1.379

122) (−3

34

,

14 ), (−6, −2

45 )

3.79

123) (4

23

,

−87), (4

34

,

85 )

2.744

124) (−3

13

,

32 ), (

−117

, −3

37)

5.234

125) (−3

12

, 8), (2

56

, −2

37 )

12.201

126) (

12

, −3

12 ), (

45

,

−116 )

1.693

127) (

38

, 0), (2, 1)

1.908

128) (3

12

,

98 ), (−1

23

,

138 )

5.191

-5-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 37: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

129) (−1

38

, 1

16 ), (−2

34

, 4

78)

3.955

130) (

117

, −3

56 ), (

18

, −3

67 )

1.447

131) (

47

, 1

14 ), (

−116

, 2

38 )

2.655

132) (1,

118 ), (2

57

,

−12 )

2.541

133) (

−57

,

−56 ), (1

56

, 2

38 )

4.097

134) (

−116

, −3

23 ), (1

34

, 1

67 )

6.584

135) (

53

, −4

18 ), (−5,

137 )

8.957

136) (

−15

, −3

15 ), (4, 2

16)

6.815

137) (

95

,

−13 ), (3

12

, 2

25 )

3.219

138) (−1, 4

37 ), (

−137

, 1

12)

3.051

139) (2,

85 ), (2,

53)

115

140) (

−54

, 7), (5, 3

14 )

7.289

141) (

−32

,

−118 ), (−3

37

, 4

23 )

6.342

142) (2,

−43), (2

15

,

−43 )

15

143) (

43

,

45 ), (0,

−34 )

2.045

144) (

−32

,

27), (3

27

, 2

25)

5.232

145) (1

12

,

−58), (2

25

, −2

16)

1.785

146) (3

12

, −3

56 ), (−1, 7

12)

12.194

147) (−1

78

, 1

45 ), (−3

38

,

13 )

2.098

148) (−7,

−65), (−2

23

, 0)4.496

149) (2

58

, −2), (

25

, 2

23)

5.17

150) (3

67

, −2), (

38

, −2) 3

2756

151) (3

16

, −1), (6, −2)

3.005

152) (

56

, −4), (

−16

, −1

14 )

2.926

153) (2

27

, 1

45 ), (

87

,

117 )

1.165

154) (−6

45

,

−56 ), (

−54

,

75 )

5.982

-6-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 38: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

155) (3

25

, −1), (1,

−116 )

2.541

156) (−3

35

, 2), (−2

58

, −3

12)

5.586

157) (2

25

, 1), (−5

23

, −1

27 )

8.384

158) (1

34

, 6

35 ), (

34

, −1)7.666

159) (

14

, 2

34 ), (

35

, 1

38)

1.419

160) (

43

, 4

35 ), (−1

58

,

32 )

4.285

161) (−1,

−34 ), (

12

, 2

25)

3.489

162) (

−43

, 3

16 ), (3

23

, −2)7.19

163) (2, −1

13 ), (−2, 2)

5.207

164) (1, 3

78 ), (

15

, −3

12 )

7.418

165) (

58

,

−75 ), (−1

25

, 1)3.14

166) (

32

,

−43), (

14

,

−58)

1.437

167) (

−87

, −2

67), (−2, 4

18 )

7.035

168) (

−78

, 2), (4

12

, 4

12)

5.928

169) (

57

,

−53 ), (

87

, −2

58)

1.05

170) (

97

,

−12), (−2

38

,

158 )

4.364

171) (

12

, −2

34 ), (

76

,

−34)

2.108

172) (

95

, 2

37 ), (

13

,

56)

2.167

173) (

−15

,

−25 ), (2

25

,

32)

3.22

174) (

95

, −2), (

−34

,

−76)

2.683

175) (

−25

, 1

17), (

−74

, 1

12 )

1.396

176) (2

14

,

53 ), (

15

, 2)2.077

177) (−2

34

, −2), (2

14

,

−95 )

5.004

178) (−1

13

, 4

12 ), (−1,

37 )

4.085

179) (

14

, 1

16 ), (1

37

,

75)

1.201

180) (−3

23

, −1

25 ), (3

58

, 2)8.045

-7-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 39: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 40: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 41: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 42: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 43: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 44: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

311) (1

23

,

−54), (−1

110

, 4

49)

6.331

312) (2

14

,

−109 ), (

−117

,

12 )

4.147

313) (

−45

, 1

12), (

1310

, 2

13 )

2.259

314) (

−43

,

−2312 ), (3

112

,

1711 )

5.612

315) (

17

,

−56 ), (−2, 2

712)

4.033

316) (

−37

,

1211), (9, 1

27 )

9.431

317) (

−32

, 2

211), (1

112

, −1

712)

4.566

318) (

−58

, 4

310 ), (−1

79

,

−98)

5.546

319) (

32

,

1311 ), (−3

59

, −2

16)

6.064

320) (

310

,

−1310), (4

15

, −1

67)

3.94

321) (

−1011

, 0), (

65

, 1)2.334

322) (

1011

, −1

310 ), (

−13

,

−5

11 )1.503

323) (

−1712

,

12 ), (−1

112

,

611)

0.336

324) (0, 4

58 ), (4

310

, 1

23)

5.219

325) (−1, 6

47 ), (2,

1211 )

6.248

326) (

−32

, 6

57 ), (2

23

,

12)

7.482

327) (

−75

,

76 ), (2

29

, 3

12 )

4.309

328) (1, 3

47 ), (

111

,

34)

2.964

329) (

−74

,

53 ), (6

23

, −2

512 )

9.355

330) (12, −1), (−3

911

, −3

16)

15.966

331) (2

56

,

23 ), (−2

111

, 1)4.936

332) (−11

18

, −1

110 ), (

−14

, 2

910 )

11.587

333) (6

58

, −2

79 ), (−7,

−169 )

13.662

334) (4

49

, 5

18 ), (−2

78

,

−137 )

10.116

335) (−1

49

, 2

311 ), (5

12

,

−32)

7.903

336) (5

110

,

−75 ), (5

59

, −1

910 )

0.676

-13-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 45: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

337) (−1

512

,

109 ), (3

59

,

−7

12 )5.253

338) (5

1112

, 1

311 ), (

811

,

57 )

5.219

339) (4

12

, 1

311 ), (3

57

,

−9

10)2.31

340) (1

12

, 6

710 ), (

14

,

95 )

5.057

341) (−2

13

, −5), (

−9

11,

−85)

3.722

342) (5

13

,

−109 ), (−1, −11)

11.743

343) (

15

,

−1710 ), (

12

,

35 )

2.319

344) (

32

, −1), (−2

13

,

14)

4.032

345) (4

25

,

−35), (

110

,

32)

4.785

346) (

23

, −2

59 ), (

511

, 6

25 )

8.958

347) (1,

74 ), (

25

, 2

27 )

0.804

348) (

97

,

12 ), (

14

, −1

512)

2.179

349) (

−53

, 2

27), (2

112

, −2)5.695

350) (

910

,

117 ), (2, −1)

2.797

351) (

−1910

, 4

27), (

−38

, 1

18 )

3.509

352) (

411

,

137 ), (

32

,

−32)

3.544

353) (

−8

11, 2

56), (−4

38

, −1

58)

5.76

354) (−1, 2

45 ), (2

12

, −1)5.166

355) (

−12

,

35 ), (4,

−7

12 )4.653

356) (

53

,

12 ), (−3

14

, −3

12 )

6.338

357) (

53

, 6

34 ), (−3

56

,

−47 )

9.157

358) (

−74

, 5

23 ), (−2,

−32 )

7.171

359) (4

35

, 3

16 ), (

95

, −2

35 )

6.41

360) (−2

16

, −3

16 ), (

−45

, −1

37 )

2.211

361) (−9, −1), (−2, 4

19)

8.667

362) (−1

67

,

58 ), (3

13

, 2

34)

5.609

-14-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 46: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

363) (6

17

,

−58), (−2, 5

37 )

10.147

364) (6

79

, 4

1112 ), (

−19

, 1)7.924

365) (5

110

,

85 ), (5

16

,

310)

1.302

366) (−1

18

, 9

911 ), (

34

,

−137 )

11.825

367) (−1

411

,

−43), (1,

−5

11)2.522

368) (−7,

−34), (−3

18

,

−169 )

4.009

369) (−2

711

, 6), (1

12

, 1

112 )

6.425

370) (

1112

,

56 ), (

−118

, 6

710 )

6.298

371) (1

12

, 7), (−2

27

,

−43 )

9.153

372) (2

34

,

15 ), (

−1912

, −2

15)

4.954

373) (−7

34

,

75 ), (

23

, 1)8.426

374) (−1

15

,

2111 ), (−1

12

, 0)1.933

375) (

−65

,

−117 ), (1

710

, 7

37 )

9.456

376) (

76

, −2), (

45

, 1

35)

3.619

377) (

12

,

116 ), (2

1011

, 5

58)

4.492

378) (

−118

, −2

15 ), (−1

310

,

18)

2.326

379) (

179

, −2), (1, −1)

1.338

380) (

79

, −5), (5

35

, 1)7.698

381) (

−58

, −2

15), (

−107

,

75)

3.689

382) (

85

,

14 ), (6

18

,

−78 )

4.663

383) (

−16

, 1), (3

310

, 2

13 )

3.714

384) (

−1912

,

14), (6

12

,

−45 )

8.151

385) (1, 1), (1

45

, 6

34 )

5.805

386) (0, 2

12 ), (−3

12

,

−75)

5.24

387) (0,

−5

12 ), (

112

, 1

712)

2.002

388) (

−53

,

512), (4

910

, 0)6.58

-15-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 47: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 48: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 49: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 50: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 51: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 52: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

519) (2

38

, 4

12 ), (−1

58

, 7

19)

4.777

520) (3

12

,

−2

11 ), (

1113

, −3

25)

4.171

521) (3

16

,

−1514), (

−138

, 1

15 )

5.303

522) (6

34

,

−97 ), (−7, 1)

13.939

523) (4

512

, 2

110 ), (4

38

, 2)

13120

524) (7

1314

,

−17 ), (

−3

14,

−32)

8.255

525) (

58

,

57 ), (−1

16

,

−9

11)2.358

526) (4

12

,

1213 ), (

34

,

12)

3.774

527) (5

34

, 4

34 ), (4

12

,

12 )

4.43

528) (

12

,

15 ), (3

13

, −3

37 )

4.604

529) (

−2714

,

27 ), (

−18

, 1

78)

2.404

530) (

2011

, −2

12 ), (

79

, 5

211 )

7.752

531) (

310

,

−12 ), (

−1511

,

−158 )

2.158

532) (

−12

, 3

23 ), (

15

, 5

12)

1.962

533) (

−1

13,

67 ), (−1

910

, −9)10.024

534) (

12

, −1

78 ), (

35

, 4

313 )

6.107

535) (−11, −14), (1,

16 )

18.566

536) (

13

,

23 ), (

−75

,

12)

1.741

537) (−1, 6

14 ), (

−8

11, 6

34 )

0.57

538) (

−12

, −6), (

−53

, 4

12 )

10.565

539) (

213

,

−32 ), (7

611

,

−13)

7.483

540) (

−32

, −3

1112 ), (−2

38

,

65)

5.191

541) (

−32

, −2

35), (0, 1

12 )

4.366

542) (−2, 12), (0,

65)

10.984

543) (

−32

,

−1110 ), (

43

, 2

14)

4.388

544) (3

78

, 1), (−2

14

, −2

914)

7.126

-21-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 53: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

545) (−1

34

,

13 ), (

−1811

, 6

1114 )

6.453

546) (3

112

, −2), (

12

, 4

16 )

6.686

547) (

12

, 5

512 ), (4

45

, 3

311 )

4.805

548) (

16

,

−23), (−10,

2312)

10.49

549) (1

58

,

−43), (

811

,

−37)

1.275

550) (1

14

, 5

1011 ), (

−23

, 1)5.27

551) (7

12

,

−1013), (5

13

,

14 )

2.394

552) (3

711

, 5

413 ), (

1912

, −14)19.417

553) (1

18

,

34 ), (

1112

, 1)0.325

554) (1

114

, 6

16 ), (3

1314

,

13)

6.495

555) (6

310

,

32 ), (1

711

,

74)

4.67

556) (

34

,

53 ), (8,

−76)

7.784

557) (

−9

14, 13), (−1,

1611 )

11.551

558) (

16

, −4), (

−34

, 2)6.07

559) (

118

, −2), (

54

,

23)

2.67

560) (

−35

, 1

19 ), (

−25

,

1911 )

0.648

561) (

−76

,

512 ), (−2

12

,

−23)

1.718

562) (

−6

13,

45), (

310

, 7

613 )

6.705

563) (

−14

, 2

17), (6

110

,

513 )

6.589

564) (

−23

,

95), (−2,

−117 )

3.626

565) (

−1910

, 5

23), (13, 0)

15.941

566) (

56

,

−1113), (

14

,

117 )

2.487

567) (

−2312

,

14 ), (6

59

, −1)8.564

568) (1,

76 ), (

512

,

47 )

0.833

569) (

32

, −3

311 ), (5

38

, 7

56 )

11.763

570) (

−1112

,

13), (

−75

, 1

78 )

1.616

-22-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 54: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

571) (

45

,

−14 ), (3

12

,

35)

2.831

572) (0, −3

57 ), (5

25

,

116 )

7.742

573) (

54

, 4

112 ), (

−34

, −1

914 )

6.065

574) (−3

12

,

−127 ), (−3,

98 )

2.883

575) (−1

14

,

−53), (−1

1011

,

−74 )

0.664

576) (1

112

, 5

512 ), (7

23

,

−15 )

8.654

577) (11,

35 ), (0, 7

910 )

13.202

578) (−3

38

, −2

12 ), (−12,

23 )

9.188

579) (−3

110

, 6

12 ), (0,

−53 )

8.735

580) (−3

711

,

−14 ), (−9, 1)

5.507

581) (−3

14

, 2

710 ), (

−49

,

−1013 )

4.462

582) (7

1114

,

35 ), (−1

113

, −14)17.079

583) (7

78

, 7

1112 ), (3

710

, −1

78)

10.645

584) (−9,

12 ), (2

514

,

59)

11.357

585) (

16

, −2), (4

110

, 1)4.947

586) (−3

14

, 7

27 ), (2

49

,

311)

9.034

587) (7

313

,

−32), (

127

,

13)

5.813

588) (7

23

, 2), (−1

16

, 6

1113)

10.075

589) (

1710

, 1

1013 ), (

1811

,

−1811)

3.406

590) (

712

, 2

16 ), (−6, 4

38 )

6.944

591) (

16

,

−9

11 ), (

23

,

1114 )

1.68

592) (

313

, −1), (2

1011

,

35)

3.12

593) (0, 1

1314 ), (3

58

,

−117 )

5.039

594) (

1310

,

97 ), (−3

314

, −3

113 )

6.278

595) (

−1712

,

−12 ), (

29

, 3

34)

4.555

596) (

−56

,

75), (

34

,

−95)

3.57

-23-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 55: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 56: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 57: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 58: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...
Page 59: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

Find the distance between this little complex fraction points:

701) (1

1314

, 1

27 ), (6

27

, 7

12)

7.59

702) (

512

, 1

613 ), (5

1114

,

19 )

5.536

703) (1

38

, 7), (

−34

,

−79)

8.063

704) (

25

,

−14), (6

19

, 7

15)

9.387

705) (

23

,

32 ), (

−85

, −4)5.949

706) (

512

,

−47), (

−74

,

2013)

3.024

707) (

314

, 1

512 ), (7

12

, −1)7.676

708) (−2

38

,

137 ), (

−74

,

12 )

1.494

709) (5

910

, −3

23 ), (

1114

, 3

45 )

9.05

710) (10

25

,

2314 ), (

−53

, 7

37)

13.382

711) (

−37

,

43 ), (−7, 0)

6.705

712) (−1, 0), (5

12

,

54 )

6.619

713) (−1

37

, 2), (7

13

, −3

18 )

10.151

714) (

45

,

67 ), (−12,

−32)

13.015

715) (2, 6

56 ), (

14

,

59 )

6.517

716) (13, 6

59 ), (−12,

−54 )

26.19

717) (

1114

, 2), (5

89

, 4

1112)

5.878

718) (

13

, 4

710 ), (−3

314

,

−56)

6.573

719) (

−12

, −1

67), (6

16

,

32 )

7.464

720) (

14

, −1

113 ), (

23

, −3)1.968

721) (

23

, −9), (

1712

,

−53 )

7.372

722) (2, 1

110 ), (2,

−43 ) 2

1330

723) (−7, 2

56 ), (3

12

, 3

511 )

10.518

724) (

45

,

78 ), (−2

38

, 1

12 )

3.236

725) (

54

,

57 ), (6

34

, 7

1013)

8.946

726) (

−32

, 0), (

12

,

311)

2.019

-28-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 60: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

727) (−3

23

, −6

89 ), (5

35

, 0)11.547

728) (7

1112

, 2), (2

1114

,

−32)

6.211

729) (7

58

,

−1813), (4

12

, 5

12)

7.561

730) (−3

15

, 2

811 ), (−3

712

,

32)

1.286

731) (5

1114

,

1411 ), (4

12

, 4

16 )

3.167

732) (7

18

, 3

1213 ), (−3

1112

, −2

16 )

12.61

733) (7

211

, 6

314 ), (

17

,

−78 )

9.99

734) (6

25

, 3

18 ), (

−23

,

112)

7.693

735) (7

57

,

75 ), (2,

−12)

6.022

736) (7

514

, 1), (6

17

, 5

78)

5.024

737) (2

38

,

14 ), (

97

, 6

56)

6.673

738) (6

47

, 3

67 ), (3

47

,

−17 )

5

739) (2

710

,

−2

13), (

211

, 6

1114 )

3.411

740) (6

25

, 3

413 ), (

43

, 12

514)

10.371

741) (5

914

,

38 ), (

−34

,

−45)

6.5

742) (−2,

−1912), (−2

711

,

−37 )

1.318

743) (−1, 5

15 ), (

−25

, −3

45 )

9.02

744) (

−54

, 6

310 ), (5

25

, −3)11.433

745) (

−97

,

53 ), (

−19

, 7

67)

6.301

746) (

−13

,

−32 ), (−1

15

,

12 )

2.18

747) (1,

514 ), (0, −3

12 )

3.985

748) (1, 1

1114 ), (1, 2

1314 ) 1

17

749) (

−75

, −1

56), (

−19

, 4

35 )

6.561

750) (

34

,

23 ), (

−23

,

117 )

1.681

751) (2,

−54 ), (−1

911

,

1110)

4.483

752) (2,

56 ), (−3

29

, −6)8.6

-29-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 61: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

753) (2, 4

67 ), (5

38

, 7

12 )

4.287

754) (

−54

,

85), (

−74

,

−23 )

2.321

755) (

−9

14, −3

710), (

−1710

, −2

12 )

1.599

756) (

138

, 5

13 ), (

59

,

−13 )

5.767

757) (6,

−32 ), (

32

,

−25 )

4.632

758) (5

712

, 3

16 ), (7

12

, 2

13 )

2.09

759) (3

15

, 5

12 ), (5

57

,

53 )

4.584

760) (4

514

, 5

914 ), (−1

16

,

−12 )

8.261

761) (3

78

, −1), (−2

910

, 7

1113 )

11.142

762) (3

910

, 0), (

−12

, 6

79)

8.081

763) (2

25

,

−1

12), (5

12

, 5

14)

6.169

764) (−14,

−79), (

−116

, 1)12.296

765) (−3

914

, −2), (6

14

, 6

12 )

13.043

766) (7

110

, 7

16 ), (

25

,

−12)

10.182

767) (2

23

, −2

79 ), (−3

56

, 2

14)

8.218

768) (1

613

,

54 ), (

−89

, 7

12) 6

317468

769) (2

27

,

1211 ), (5

18

,

−57 )

3.365

770) (14

23

,

16 ), (−1

15

, −1)15.91

771) (2

1114

,

74 ), (

−9

13,

−9

10)4.373

772) (1

310

,

−25 ), (

−1211

,

15 )

2.465

773) (

137

,

−27 ), (4

910

,

13)

3.105

774) (

13

,

−117 ), (

−32

, 7

15 )

8.961

775) (

43

, 5

1112 ), (7

112

, 5

25 )

5.773

776) (0, −3

15 ), (

−27

, 0)3.213

777) (−2, −2

710 ), (4

111

, −3

12 )

6.143

778) (

54

, 2), (1

14

,

12) 1

12

-30-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-

Page 62: The distance formula - fractions · You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-25) (2 4 5, 8 7), (−3 5 8, −7) 26) (1 3 4, ...

779) (

−149

, 8), (

1312

,

12 )

7.951

780) (

−47

, 5

18 ), (

12

, 11

23)

6.629

781) (

−53

,

−53 ), (1

12

,

−3

13 )3.477

782) (−1,

811 ), (1

310

, −2

78 )

4.274

783) (

−138

, −2), (−1

58

, −1)1

784) (

−34

,

149 ), (

−35

, 6

512 )

4.863

785) (

914

, −2

314 ), (

23

, −3

112)

0.869

786) (

−7

11,

−1

12 ), (2

13

, 7

16)

7.835

787) (

−95

, −2), (1,

−127 )

2.815

788) (−11, −2

23 ), (

1013

,

32)

12.485

789) (−2

13

, 1), (5

13

,

53)

7.696

790) (−1

17

,

158 ), (

56

, −3

38 )

5.61

791) (−2

710

, 5

710 ), (

−34

,

1114 )

5.287

792) (−3

57

,

−95 ), (

−12

, 0)3.684

793) (−2

25

, 5

611 ), (

−57

,

43 )

4.537

794) (1

1114

,

43 ), (

38

,

−17 )

2.042

795) (−2

23

,

−1813), (0, 2

56 )

4.99

796) (1

710

, −1

79 ), (

138

, 7

47)

9.35

797) (−3

27

, −2

910 ), (7

35

,

−2113)

10.961

798) (−3

112

,

1613 ), (3

23

,

−1114)

7.045

799) (−3

59

, 6

23 ), (2, 1

1314 )

7.302

800) (7

23

, 0), (5

56

, 3

58)

4.062

-31-

You may use this math worksheet as long as you help someone learn math. -> MATHX.NET <-