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March 25, 2017

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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 - ,

    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 - ,

    Correction: x-1 = 2/3(7-1).

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