Question

15. The equation of a circle is x² + y2 = 64. A point on the circle has coordinates (x. √28). Determine the possible

values of x. You must show work to receive credit.

Answer 1

±6

Explanation:

To find the possible values of x for a point on the circle with equation x² + y² = 64, we can substitute the given y-coordinate of √28 into the equation and solve for x:

x² + (√28)² = 64

x² + 28 = 64

x² = 64 - 28

x² = 36

Taking the square root of both sides, we get:

x = ±6

Therefore, the possible values of x for a point on the circle with coordinates (x, √28) are x = 6 and x = -6.