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MATH

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hmm...i need help on this problem, anyone know how to o this? (if u can, put a step-by-step solution) i would really be grateful.

the coordinates of two points are A(-2,6) and B(9,3). find the coordinates of the point C on the X-axis so that AC=BC

  • MATH -

    If it is on the X axis, y = 0. All you have to do is solve for x.

    The distance of a point on the x axis from A is
    D1 = sqrt [(x+2)^2 + 6^2}
    and the distance from B is
    D2 = sqrt [(x-9)^2 + 3^2]

    Set D1 = D2, (or D1^2 = D2^2) and solve for x.

    x^2 + 4x + 4 + 36 = x^2 -18x + 81 + 9
    22 x = 90 - 40 = 50
    x = 50/22 = 2.273

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