Question

HELPPPP MEEEE STUDY GUID NO TUTOR WILL THEY KEEP LEAVING

Answer 1

Answer: C. 5

First, we will find the distance between P and R:

$d=\sqrt{(-1-(-3))^2}=\sqrt{4}=2$

Since the distance between P and R is 2, given that the ratio of PR to RQ is 1:3

$\begin{gathered} \frac{1}{3}=\frac{2}{x} \\ x=(2)(3) \\ x=6 \end{gathered}$

The distance between R and Q is 6. Therefore, from -1, we will add 6 units to the left to find the x-coordinate of Q:

$Q_x=-1+6=5$

Therefore, the x-coordinate of Q is 5.