Answer:
see the explanation
Step-by-step explanation:
we have
<u><em>Convert the equation of the circle in center radius form</em></u>
Group terms that contain the same variable
Complete the square twice. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The center of the circle is (-3,8)
The radius of the circle is 8 units
<u><em>Verify each statement</em></u>
A. The center of the circle is (3,-8).
False
The center of the circle is (-3,8)
B. The circle is tangent to the x-axis
True
The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16
Remember that y=0 is the x-axis
C. The circle has a radius of 64
False
The radius of the circle is 8 units