Question

The equation (x + 4)2 + (y – 9)2 = 144 models the position and range of a cellular phone tower. What is the position of the tower on a coordinate plane?

Answer 1

The center of the circle is located at (-4, 9) on the coordinate plane.

Answer 2

Answer: (-4,9)

Explanation:

The given equation models the position and range of a cellular phone tower :

`(x + 4)^2 + (y-9)^2 = 144`

Since the radiation of a phone tower radiates in a circular area where the position of the tower is the center of that circle.

The standard equation of a circle is given by :-

`(x-h)^2+(y-k)^2=r^2`, here (h,k) is the center of the circle.

Now, comparing to the standard equation of the circle, the position of tower on the coordinate plane = (-4,9).