What are the coordinates of the point on the directed line segment from (- 3, – 9) to (4, 5) that partitions the segment into a ratio of 5 t

Question

What are the coordinates of the point on the directed line segment from (- 3, – 9) to (4, 5) that partitions the segment into a ratio of 5 to 2?

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Thanh Hà 4 years 2021-09-02T20:51:02+00:00 1 Answers 132 views 0

Answers ( )

  1. taiduc
    -2
    2021-09-02T20:52:36+00:00
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    Answer:

    (0,-1)

    Step-by-step explanation:

    Let the ends of the line segments be A(-4,3) and B(5,-6).

    Ratio=4:5

    By the concept of cordinate geometry,

    x=(mx2+nx1)/(m+n)

    y=(my2+ny1)/(m+n)

    where m and n is the ratio m:n.

    So, here the cordinates are

    x={4(5)+5(-4)}/(4+5)

    x=(20–20)/9

    x=0

    y={4(-6)+5(3)}/9

    y={-24+15}/9

    y=(-9)/9

    y=(-1)

    Therefore the cordinates of the point that divides the given line segment in the ratio 4 : 5 is (0,-1)

    🙂

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