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MATHEMATICS

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If P is a point on the segment joining X(-2,-2) and Y(8,3), find the coordinates of point P if XP:PY = 2:3.

  • MATHEMATICS -

    make a sketch and set up simple ratios

    let the point P be P(x,y)
    (8-x)/(x+2) = 3/2
    3x + 6 = 16 - 2x
    5x = 10
    x = 2

    (3-y)/(y+2) = 3/2
    3y + 6 = 6 - 2y
    5y = 0
    y = 0

    P is (2,0)

    verify with your sketch

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