Question

PLEASE HELP

The equation ( x + 6)^2 + ( y + 4) ^2 = 36 models the position and range of the source of a radio signal.

1. Where is the signal located?

2. What is the range of the signal? Only enter numerical values.​​

Answer 1

It is located at point (-6,-4), and it can reach a distance of 6 units.

Explanation:

The equation is a circle equation:

(x-a)²+(y-b)²=r², where a and b are coordinates and r is the radius

We easily see that point a is -6, and point b is -4.

Since the square root of 36 is 6, we see that the radius of the circle is also 6, which is also the signals maximum range.

Hope this helps!