What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

The distance between point and point can be found using the Pythagorean theorem.

Consider the attached image (points P and Q are meant for generic purposes and do not match the coordinates of your exercise).

You can think of PQ as the hypothenuse of the right triangle PQR, and the legnth of the legs is easy to compute, because P and R share the same y coordinate, and R and Q share the same x coordinate.

So, we have

But since and , the formula becomes

22 dimes and 9 nickels

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.