Point q is plotted on the coordinate grid. point p is at (40, −20). point r is vertically above point q. it is at the same distance from point q as point p is from point q. which of these shows the coordinates of point r and its distance from point q?

Step-by-step explanation:

Distance between points in

If P(p1,p2) and Q(q1,q2) are points on the plane , the distance between them is

We have Q(-10,-20) plotted on the coordinate grid. We also know that P is at (40, -20). We can see they have the same y-coordinate, so the distance between them is computed simply by subtracting their x-coordinates

We must locate R knowing it's vertically above Q (x-coordinate = -10) and at the same distance from point Q as point P is from point Q. That means that from R to Q there are 50 units. They-coordinate of R will be -20+50=30.  

The point R is located at (-10,30)

The distance from R to P is

the answer to the expression is 83