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Pre-Calculus Homework Solutions 59

# Pre-Calculus Homework Solutions 59 - 24 slope of PQ 0 10 4...

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24. slope of PQ @ #\$ 5 ¬ } 0 1 2 0 2 ( 2 5 4) } 5 ¬ } 4 5 } slope of UV @ #\$ 5 ¬ } 2 13 5 2 2 ( 9 2 8) } 5 ¬ } 5 4 } The slopes are not the same, so PQ @ #\$ and UV @ #\$ are not parallel. The product of the slopes is 1 } 4 5 } 21 } 5 4 } 2 or 1, so PQ @ #\$ and UV @ #\$ are not perpendicular. Therefore, PQ @ #\$ and UV @ #\$ are neither parallel nor perpendicular. 25. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 0 2 2 1 ( 2 2 2 1) } 5 ¬ } 2 1 3 } or 2 3 26. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 4 1 2 2 ( ( 2 2 5 4 ) ) } 5 ¬ } 9 5 } 27. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 2 2 3 1 2 2 ( 2 5 2) } 5 ¬ } 2 2 6 1 } or 6 28. m 5 ¬ } ( ( y x 2 2 2 2 y x 1 1 ) ) } 5 ¬ } 2 4 4 2 2 ( 2 ( 2 2 4 ) ) } 5 ¬ } 0 6 } or 0 29. The slope of LM @ #\$ is 6 (from Exercise 27). A line parallel to LM @ #\$ has the same slope as LM @ #\$ ,thus has slope 6. 30. The slope of PQ @ #\$ is } 9 5 } (from Exercise 26). A line perpendicular to PQ @ #\$ has slope that is the opposite reciprocal of } 9 5 } , or
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