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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.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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