Pre-Calculus Homework Solutions 87

# Pre-Calculus Homework Solutions 87 - y 15 4 35 25 x y 50 y...

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45. B; x y 4 15 35 ¬ 25 x y 50 ¬ 100 x y ¬ 50 x 15 3 35 ¬ 27 x 50 ¬ 81 x ¬ 31 Substituting 31 for x , 31 y ¬ 50 y ¬ 19 Page 183 Maintain Your Skills 46. The perpendicular segment from the point (2, 2) to the line y x 2 appears to intersect the line y x 2 at ( 1, 1). Use the Distance Formula to find the distance between (2, 2) and y x 2. d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ ( 1 2) 2 [1 ( 2)] 2 ¬ 9 9 ¬ 18 The distance between the line y x 2 and the point (2, 2) is 18 units. 47. x y 2 y x 2 The perpendicular segment from the point (3, 3) to the line x y 2 appears to intersect the line x y 2 at (1, 1). Use the Distance Formula to find the distance between (3, 3) and x y 2. d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ (3 1) 2 (3 1) 2 ¬ 4 4 ¬ 8 The distance between the line x y 2 and the point (3, 3) is 8 units. 48. The perpendicular segment from the point (6, 2) to the line y 7 intersects the line y 7 at (6, 7). Use the Distance Formula to find the distance between (6, 2) and y 7. d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ (6 6) 2 ( 2 7) 2 ¬ 0 81 ¬ 81 or 9 The distance between the line y 7 and the point (6, 2) is 9 units.
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