Question

tia maps a circular path on a coordinate plane with a fountain at the center. the equation modeling the path is shown, where x and y are in meters.
$(x - 8)^2+(y - 10)^2=9$
what is the location of the fountain on the coordinate plane?
( , )

Explanation:

Step1: Recall the standard form of a circle's equation

The standard form of a circle's equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center of the circle.

Step2: Identify \(h\) and \(k\)

For the given equation \((x - 8)^2+(y - 10)^2=9\), comparing it with \((x - h)^2+(y - k)^2=r^2\), we have \(h = 8\) and \(k = 10\).

Answer:

\((8,10)\)