Question

Joseph is exactly 13 meters from Holly (2, 2), and he is located in the 4th quadrant on the grid. Where is Joseph?

Answer 1

The answer is ( 7, -10)
We need a right triangle width base 12 and height 5.
By Pythagorean theorem, the hypotenuse is sqrt( 5^2 + 12^2) = sqrt( 25 + 144) = sqrt(169) = 13

Holly is at (2,2), so we start there.
We move 5 squares to your RIGHT on your graph paper.
That is (7,2)

From there we move 12 squares straight down.
That is at (7,-10), which is where Joe is in the 4th quadrant.