The point Q lies on the segment PR.
Find the coordinates of Q so that the ratio of PQ to QR is 2:7
P(-22, 32)
R (5, -4)

(-16,24)

Step-by-step explanation:

In this problem, we have segment PR, where the endpoins have coordinates

P (-22, 32)

R (5, -4)

We want to find point Q along the segment such that

PQ : QR = 2 : 7 (1)

We can write the coordinates of point Q as

So we can now rewrite eq(1) for both the x- and y- variable:

(2)

(3)

We start by solving eq(2) to find the coordinate x of point Q:

While for the y-coordinate:

So the coordinates of Q are (-16,24).

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3