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  • 13-04-2021
  • Mathematics
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which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

which of the following correctly gives the center and radius of the circle defined by the equation z72 10 class=

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leena
leena leena
  • 13-04-2021

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.

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