Question

Find the coordinates of the points that are 20 units away from the origin and have a y-coordinate equal to −12.

Answer 1

9514 1404 393

Answer:

(-16, -12), (16, -12)

Explanation:

The given values (side length and hypotenuse) have the ratio ...

12 : 20 = 3 : 5

This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...

(-16, -12) and (16, -12)