Question

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).
Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.
(–3, –3)
(–1, 0)
(0, 0)
(6, –1)
(6, 6)

Answer 1

We need (x-3)^2 + (y-3)^2 = 25.

Check the choices:
- (−1, 0): (−1−3)^2 + (0−3)^2 = (−4)^2 + (−3)^2 = 16 + 9 = 25 ✓
- (6, −1): (6−3)^2 + (−1−3)^2 = 3^2 + (−4)^2 = 9 + 16 = 25 ✓

So the two possible locations are (−1, 0) and (6, −1).