Answer:
Point R is at (−20, 10), a distance of 30 units from point Q
Step-by-step explanation:
Q has coordinates (-20,-20).
P has coordinates (10,-20)
Since point R is vertically above point Q, it will have the same x-coordinate as Q.
Let R have coordinates (-20,y).
It was given that;
![|RQ|=|PQ|](https://tex.z-dn.net/?f=%7CRQ%7C%3D%7CPQ%7C)
![\Rightarrow |y--20|=|10--20|](https://tex.z-dn.net/?f=%5CRightarrow%20%7Cy--20%7C%3D%7C10--20%7C)
![\Rightarrow y+20=10+20](https://tex.z-dn.net/?f=%5CRightarrow%20y%2B20%3D10%2B20)
![\Rightarrow y=10+20-20](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D10%2B20-20)
.
The coordinates of R are (-20,10).
The dstance from Q is 30 units.