find the coordinates of P so that P partitions the segment AB in the ratio 1:1 is A(-4,15) and B(10,11)

Question

find the coordinates of P so that P partitions the segment AB in the ratio 1:1 is A(-4,15) and B(10,11)

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Jasmine 2 weeks 2021-09-12T06:32:50+00:00 1 Answer 0

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    2021-09-12T06:34:46+00:00

    Answer:

    The coordinates of point P are (3 , 13)

    Step-by-step explanation:

    * Lets explain how to solve the problem

    – Point P divides the segment AB in the ratio 1 : 1

    – The ratio 1 : 1 means divide the segment into two equal parts

    – Then P is the mid-point of segment AB

    – If (x , y) are the coordinates of the mid-point of a segments whose

     endpoints are (x1 , y1) and (x2 , y2) then;

     x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}

    ∵ The coordinates of point A is (-4 , 15)

    ∵ The coordinates of point B is 10 , 11)

    – Let point A is (x1 , y1) , point B is (x2 , y2) and point P is (x , y)

    ∵ x1 = -4 , x2 = 10 and y1 = 15 , y2 = 11

    x=\frac{-4+10}{2}=\frac{6}{2}=3

    y=\frac{15+11}{2}=\frac{26}{2}=13

    ∴ The coordinates of point P are (3 , 13)

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