Question

QUESTION 17

Find the coordinates of the points that are 10 units away from the origin and have an x-coordinate equal to .6

Answer 1

The set of all points that are 10 units from the origin is the circle centered at (0,0) with radius 10, which has equation

x2 + y2 = 100.

So, if the y-coordinate is -6, then x2 + 36 = 100.

x2 = 64

x = ±8

The points are (8,-6) and (-8,-6).