Pre-Calculus Homework Solutions 170

# Pre-Calculus - 32 To find y 2y 6 3y 9 6 y 9 15 y 34 To find x 2x 3 6 x 3x 3 6 3x 3 x 1 To find y 4 3 y 1 2y 1 2y 3 3 y 2 N y P R x 35 The poles

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32. L is on PN @ #\$ and M is on RN @ #\$ so graph N , P , and R and extend P w N w and R w N w so that P w R w divides N w L w and M w N w . } P L N P } 5 } 2 1 } , and P w R w divides N w L w and M w N w proportionally so } M RN R } 5 } 2 1 } . Then LP 5 2( PN ) and MR 5 2( RN ). Starting at N (8, 20), move to P (11, 16) by moving down 4 units and then right 3 units. Locate L by moving from P down 8 units and then right 6 units. The coordinates of L are (17, 8). Now starting at N (8, 20), move to R (3, 8) by moving down 12 units and then left 5 units. Locate M by moving from R down 24 units and then left 10 units. The coordinates of M are ( 2 7, 2 16). Verify that LP 5 2( PN ) and MR 5 2( RN ). PN 5 ¬ Ï (11 2 w 8) 2 1 w (16 2 w 20) 2 w 5 ¬ Ï 9 1 16 w 5 ¬ Ï 25 w or 5 LP 5 ¬ Ï (11 2 w 17) 2 1 w (16 2 w 8) 2 w 5 Ï 36 1 6 w 4 w 5 Ï 100 w or 10 So, LP 5 2( PN ). RN 5 Ï (8 2 3 w ) 2 1 (2 w 0 2 8) w 2 w 5 Ï 25 1 1 w 44 w 5 Ï 169 w or 13 MR 5 Ï [3 2 ( w 2 7)] 2 w 1 [8 2 w ( 2 16 w )] 2
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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