Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distanc

Question

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R.

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Lydia 2 weeks 2021-09-10T12:08:33+00:00 1 Answer 0

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    2021-09-10T12:10:09+00:00

    Answer:

    y_Q=\dfrac{21}{5}=4.2

    Step-by-step explanation:

    If the point Q that is located two over three the distance from point P to point R, then PQ:QR=2:3.

    Use formula to find the coordinates of the point Q:

    x_Q=\dfrac{3x_P+2x_R}{3+2}\\ \\y_Q=\dfrac{3y_P+2y_R}{3+2}

    In your case, P(-2,7) and R(1,0), then

    x_Q=\dfrac{3\cdot (-2)+2\cdot 1}{3+2}=\dfrac{-4}{5}\\ \\y_Q=\dfrac{3\cdot 7+2\cdot 0}{3+2}=\dfrac{21}{5}

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27:3+15-4x7+3-1=? ( )