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?

Respuesta :

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

Answer: (-4,9)

Step-by-step explanation:

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

[tex](x + 4)^2 + (y-9)^2 = 144[/tex]

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 :-

[tex](x-h)^2+(y-k)^2=r^2[/tex], 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).