Question

Plsssss help I have a F

Answer 1

Point Q will be located at 27 / 7.

We are given the points:

P = - 26

R = - 5

Let Q = x

Now, we also have the ratio as:

PQ : QR = 5 : 2

PQ = Q - P

PQ = x - ( - 26 )

PQ = x + 26

QR = R - Q

QR = - 5 - x

Now, we know that:

PQ / QR = 5 / 2

2 PQ = 5 QR

2 ( x + 26 ) = 5 ( - 5 - x )

2 x + 52 = - 25 - 5 x

2 x + 5 x = 52 - 25

7 x = 27

x = 27 / 7

Therefore, point Q will be located at 27 / 7.

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