The endpoints of the directed line segment AB are A(−2, −3) and B(10, 6) . Find the coordinates of point P along AB so that the ratio of AP

Question

The endpoints of the directed line segment AB are A(−2, −3) and B(10, 6) . Find the coordinates of point P along AB so that the ratio of AP to PB is 2 to 1.

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niczorrrr 4 years 2021-08-05T20:18:15+00:00 1 Answers 61 views 0

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  1. Nem
    0
    2021-08-05T20:20:09+00:00
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    Answer:

    (2, 0)

    Step-by-step explanation:

    Using the midpoint theorem;

    M(X, Y) = {ax1+bx2/a+b, ay1+by2/a+b}

    Given the coordinates A(−2, −3) and B(10, 6) divided within the ratio 2 to 1;

    X = ax1+bx2/a+b

    X = 2(-2)+1(10)/2+1

    X = -4+10/3

    X = 6/3

    X = 2

    Similarly;

    Y = ay1+by2/a+b

    Y = 2(-3)+1(6)/2+1

    Y = -6+6/3

    Y = 0/3

    Y = 0

    Hence the required coordinate P is at (2, 0)

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )