Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partiti

Question

Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 2/1.

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Adela 4 years 2021-08-10T14:18:31+00:00 1 Answers 38 views 0

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  1. Doris
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    2021-08-10T14:19:45+00:00
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    Answer:

    The coordinates of point P are (3,0)

    Step-by-step explanation:

    Here, we simply want to find the coordinates of point P that divides the segment AB in the ratio 2 to 1

    We can use the internal division formula for this;

    Mathematically, that would be ;

    (x ,y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

    From the question;

    m = 2 , n = 1

    x1 = -3 , y1 = -2

    x2 = 6 , y2 = 1

    Substituting these values in the equation;

    (x , y) = 2(6) + 1(-3)/2 + 1) , 2(1) + 1(-2)/)2 + 1)

    (x ,y ) = (12-3)/3 , (2-2)/3

    (x , y) = 9/3,0/3

    (x ,y) = (3,0)

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