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October 24, 2016
Posted by **neil** on Tuesday, August 23, 2011 at 9:04am.

- geometry -
**Henry**, Tuesday, August 23, 2011 at 5:56pma. A(-4,4), (B(5,2), P(x,y).

AP = 2BP,

x-(-4) = 2(x-5),

x + 4 = 2x -10,

2x -x = 4 + 10 = 14,

X = 14.

y -4 = 2(y-2),

y -4 = 2y -4,

2y - y = -4 + 4 = 0,

Y = 0.

Solution set: P(14,0).

b. P(x,y), A(-4,4), B(5,2).

PB = 3PA,

5 - x = 3(-4 -x),

5 - x = -12 -3x,

-x + 3x = - 12 - 5,

2x = - 17,

X = -17/2 = -8 1/2.

2 - y = 3(4-y),

2 - y = 12 - 3y,

- y + 3y = 12 - 2,

2y = - 10,

Y = 5

Solution set: P(-8 1/2,5).