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The center of a circle represented by the equation (x − 5)2 + (y + 6)2 = 42 is

User Brittiany
by
6.2k points

2 Answers

5 votes

Answer:

(5,-6)

Explanation:

When you write the equation of a circle in the form


(x-x_0)^2+(y-y_0)^2=r^2

Then the center of the circle will be
(x_0,y_0) and the radius will be
r.

User Jatanp
by
6.3k points
1 vote

Answer: The center of the given circle is (5, -6).

Step-by-step explanation: We are given to find the center of the circle represented by the following equation :


(x-5)^2+(y+6)^2-4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the STANDARD equation of a circle with center (h, k) and radius r units is given by


(x-h)^2+(y-k)^2=r^2.

From equation (i), we have


(x-5)^2+(y+6)^2=4^2\\\\\Rightarrow (x-5)^2+(y-(-6))^2=4^2.

Comparing with the standard form, we get that the center of the given circle is (h, k) = (5, -6).

Thus, the center of the given circle is (5, -6).

User AndyWilson
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7.3k points