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Pre-Calculus Homework Solutions 8

# Pre-Calculus Homework Solutions 8 - 56 Sample answer You...

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56. Sample answer: You can copy the segment onto a coordinate plane and then use either the Pythagorean Theorem or the Distance Formula to find its length. Answers should include the following. • To use the Pythagorean Theorem, draw a vertical segment from one endpoint and a horizontal segment from the other endpoint to form a triangle. Use the measures of these segments as a and b in the formula a 2 b 2 c 2 . Then solve for c . To use the Distance Formula, assign the coordinates of the endpoints of the segment as ( x 1 , y 1 ) and ( x 2 , y 2 ). Then use them in d ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 to find the length of the segment. 61 7.8 units 57. B; d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 d ¬ ( 2 6) 2 ( 4 11) 2 d ¬ ( 8) 2 ( 15) 2 d ¬ 64 225 d ¬ 289 d ¬ 17 58. A Page 27 Maintain Your Skills 59. WY WX XY WY 1 3 4 2 1 2 WY 4 1 4 WY is 4 1 4 in. long. 60. AC AB BC 8.5 3 BC 5.5 BC BC is 5.5 cm long. 61. Sample answer: 62. 63. 2 k ¬ 5 k 30 3 k ¬ 30 k ¬ 10 64. 14 x 31 ¬ 12 x 8 14 x ¬ 12 x 39 2 x ¬ 39 x ¬ 3 2 9 or 19.5 65. 180 8 t ¬ 90 2 t 90 8 t ¬ 2 t 90 ¬ 10 t 9 ¬ t 66. 12 m 7 ¬ 3 m 52 12 m ¬ 3 m 45 9 m ¬ 45 m ¬ 5 67. 8 x 7 ¬ 5 x 20 8 x ¬ 5 x 13 3 x ¬ 13 x ¬ 1 3 3 68. 13 n 18 ¬ 5 n 32 13 n ¬ 5 n 50 8 n ¬ 50 n ¬ 5 8 0 or 6.25 Page 28 Geometry Activity: Modeling the Pythagorean Theorem
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