Point q lies on the circle and has an x-coordinate of 4.

which value could be the y-coordinate for point q?
2 square root 5
4 square root 2
2 square root 13
8 square root 2

2 square root 5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The equation of the circle is equal to

where

(h,k) is the center and r is the radius of the circle

In this problem we have

center at (0,0) and radius equal 6 units

so

Remember that

If a point lie on the circle, then the point must satisfy the equation of the circle

Substitute the x-coordinate of point Q in the equation of the circle and solve for the y-coordinate of point Q

For x=4

simplify

The point Q lie on the first Quadrant (see the picture)

The y-coordinate is positive

therefore

The y-coordinate of point Q is

the forst and 3rd

step-by-step explanation: