Circle B has its center at (-6, 2) and a radius of 10 units. What is the sum of the y-coordinates of the two points on circle B that are also on the y-axis?

Guest Sep 24, 2021

#1**+1 **

What is the sum of the y-coordinates of the two points on circle B that are also on the y-axis?

**Hello Guest!**

**\(y=\pm \sqrt{r^2-(x-x_c)^2}+y_c\)**

\(y=\pm \sqrt{10^2-(x+6)^2}+2\\ x=0\\ y=\pm \sqrt{10^2-36}+2=\pm 8+2\)

The sum of the y-coordinates of the two points on circle B that are also on the y-axis

is (8 + 2) + (-8 + 2) = 4.

!

asinus Sep 24, 2021