Pre-Calculus Homework Solutions 58

# Pre-Calculus Homework Solutions 58 - 10 Start at(1 2 Move...

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10. Start at (1, 2). Move up 2 units and then move right 1 unit. Draw the line through this point and (1, 2). 11. Find the slope of MN . m ¬ ( ( y x 2 2 y x 1 1 ) ) ¬ 2 1 0 5 ¬ 2 4 or 1 2 Since 1 2 2 1, the slope of the line perpendicular to MN through A (6, 4) is 2. Graph the line. Start at (6, 4). Move up 2 units and then move right 1 unit. Draw the line through this point and (6, 4). 12. The hill has an 8% grade, so the road will rise or fall 8 units vertically with every 100 horizontal units traveled. So the slope is either 1 8 00 2 2 5 or 1 8 00 2 2 5 . 13. Let ( x 1 , y 1 ) (0, 0) and m 2 2 5 . Then y 2 120 because the biker is 120 meters below her starting position. m ¬ ( ( y x 2 2 y x 1 1 ) ) 2 2 5 ¬ x 1 2 20 0 0 2 2 5 ¬ x 1 2 20 x 2 ¬ 1500 If m 2 2 5 then x 2 1500. So the current position of the biker is represented by (1500, 120) or ( 1500, 120). 14. The distance is the same no matter which coordinates are used for the biker’s current position. d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ (1500 0) 2 ( 120 0) 2 ¬ 1500 2 ( 120) 2 ¬ 2,264,400 ¬ 1505 The biker has traveled 1505 meters down the hill.
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