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Line segment PQ is a directed line segment beginning at P(6,-5) and ending at QX-2,4).
Find point R on the line segment PQ that partitions it into the segments PR and RQ in the ratio 3:2.
O A. (8,3)
OB. (¹,-)
oc. (-1,3)
C.
O.D. (1,3)

Respuesta :

MrRoyal

The coordinates of R is (1.2, 0.4)

How to determine the partition?

The points are given as:

P= (6, -5)

Q = (-2, 4)

The ratio is given as:

m : n = 3 : 2

The location of R is calculated as:

[tex]R = \frac{1}{m + n}* (mx_2 + nx_1, my_2 + ny_1)[/tex]

So, we have:

[tex]R = \frac{1}{3 + 2}* (3 * -2 + 2 * 6, 3 * 4 + 2 * -5)[/tex]

Evaluate the products

[tex]R = \frac{1}{5}* (6, 2)[/tex]

This gives

R = (1.2, 0.4)

Hence, the coordinates of R is (1.2, 0.4)

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