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=√((-1-(-3))^2)=√(4)=2`

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

`\begin{gathered} (1)/(3)=(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.