which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?
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Hi there!
[tex]\large\boxed{\text{Center: (7,2); radius =} \sqrt{10}}}[/tex]
We know that the standard form of the graph of a circle is:
(x - h)² + (y - k)² = r²
Where:
h = x-coordinate of center
k = y-coordinate of center
r = radius
We can identify the following from the given equation:
(x - 7)² ⇒ h = 7
(y - 2)² ⇒ k = 2
r² = 10 ⇒ r = √10
Thus, the correct answer is C.