Posted by **Michaela** on Wednesday, August 17, 2011 at 6:32pm.

Point P is located on the segment between point A(1,4) and point D(7,13). The distance from A to P is twice the distance from P to D. What are the coordinates of point P?

- Geometry -
**Henry**, Thursday, August 18, 2011 at 3:24pm
PD = d,

AP = 2d,

AP/AD = 2d/(d+2d) = 2d/3d = 2/3.

AP/AD = 2/3,

AP = (2/3)AD.

x -1 = @/3(7-1),

x -1 = 4,

X = 4+1 = 5.

y-4 = 2/3(13-4),

y-4 = 6,

Y = 6 + 4 = 10.

P(5,10).

- Geometry -
**Henry**, Thursday, August 18, 2011 at 3:28pm
Correction: x-1 = 2/3(7-1).

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