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(71),
x 1 = 4,
X = 4+1 = 5.
y4 = 2/3(134),
y4 = 6,
Y = 6 + 4 = 10.
P(5,10).

Geometry  Henry, Thursday, August 18, 2011 at 3:28pm
Correction: x1 = 2/3(71).
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