Question

The equation (x – 5)^2 + (y – 7)^2 = 81 models the position and range of a cellular phone tower. What is the range of the tower?

Answer 1

Answer:

In interval form range is [-2,16]

Step-by-step explanation:

Here we can see that given equation is circle

whose center is (5,7 ) and radius is 8 ,

Range of the circle is actually values of y it changes from

if (h,k) is the center and r is the radius of circle then range is given by

                     k-r     ≤y ≤ k+r

here in the question k = 7 and r =9

therefore  range is

       7-9     ≤y ≤ 7+9

          -2  ≤y ≤ 16

In interval form [-2,16]