As seismological station is located at (0,-4) 4 kilometers away from a straight shoreline where the x-axis runs through. The epicenter of the earthquake was determine to be 10 kilometers away from the station.

Question

a. Find the equation of the curve that contains the possible location of the epicenter.
b. If furthermore, the epicenter was determined the be 7 kilometers away from the shore, find it's coordinates.

Answer 1

recall that the equation for a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2

Here, you have the station as the center, and the radius of the circle is 10.

(a) So just plug in your numbers.

(b) Now pick a point on that circle with y-coordinate of -7 (why not +7?)

Answer 2

Thank you

Answer 3

Sorry can u collaborate more of your answer. I don't get it😭