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?
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.
!