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Anuta_ua [19.1K]
3 years ago
8

Please help me asap!

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

D) (x-5)^2 + (y-2)^2 = 49

Step-by-step explanation:

Center is (5,2) and radius = 7

We use center - radius form of equation of circle

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

Where (h,k) represents the center

and r is the radius of the circle

We know center is (5,2)  so h= 5  and k =2

r= 7

Plug in all the values

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

(x-5)^2 + (y-2)^2 = 7^2

(x-5)^2 + (y-2)^2 = 49


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The value of x is a little trickier, as a quadratic is involved.

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<em>Additional comment</em>

For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)

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We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)

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