What are the me and you What are the x- and y-coordinates of point E, which partitions the directed line segment fro

Question

What are the me and you

What are the x- and y-coordinates of point E, which partitions

the directed line segment from A to B into a ratio of 1:2?

x = ( min )(x2 – x1) + x1

v = l m on Jiva – vi] + vi

(0, 1)

0 (-1,3)

* (-2,5)

(1,0)

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Madeline 2 months 2021-10-12T03:01:00+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-12T03:02:06+00:00

    Complete question:

    What are the x- and y- coordinates of point E, which partitions the directed line segment from A\:(- 4,\:9) \:to\: B\:(2,\:- 3) into a ratio of 1 : 2.

    Answer:

    (C) (-2,5)

    Step-by-step explanation:

    x = (\dfrac{m}{m+n}) (x_2-x_1) + x_1\\\\y = (\dfrac{m}{m+n}) (y_2-y_1) + y_1

    (x_1,y_1)=(- 4,\:9),(x_2,y_2)=B\:(2,\:- 3)

    m=1, n=2

    x = \left(\dfrac{1}{1+2}\right) (2-(-4)) + (-4)\\=\left(\dfrac{1}{3}\right) (2+4)-4\\=\left(\dfrac{6}{3}\right)-4=2-4\\x=-2

    y = \left(\dfrac{1}{1+2}\right) (-3-9) + 9\\=\left(\dfrac{1}{3}\right) (-12)+9\\=\left(-\dfrac{12}{3}\right)+9=-4+9\\y=5

    The x- and y-coordinates of the point E is (-2,5)

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45:7+7-4:2-5:5*4+35:2 =? ( )