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# help coordinates

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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?

Sep 24, 2021

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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.

!

Sep 24, 2021
edited by asinus  Sep 24, 2021