Question

Find the value of x if the distance

between the points at (7,5) and (a, -3)
is 10 units.
O 2 or 13
O 1 or 13
O 13 or 15
O 1 or 15

Answer 1

B

Explanation:

Pythagorean Theorem:

8² + x² = 10²

The 8 is the distance between the y values of the points. Since we don't know the x value of the second point, we are solving for those possibilities.

64 + x² = 100
100 - 64 = x²

36 = x²

6 = x

This shows that the point with the missing x value is 6 x values away from the first point.

7 + 6 = 13
7 - 6 = 1