Question

Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?

Distance formula: 62 - x2)2 + 1/2 - )?
O(x 1)2 + (y + 2)2 = 25
(x + 2)2 + (y – 1)2 = 5
(x + 2)2 + (y - 1)2 = 25
(x - 1)2 + (y + 2)2 = 5

Answer 1

(x+1)2+(y−2)2=5

Step-by-step explanation:

The general form for a circle with center

(a,b) and radius r is XXX(x−a)2+(y−b)2=r2

With center (−1,2) and given that (0,0) is a solution (i.e. a point on the circle),according to the Pythagorean Theorem: XXX r 2=(−1−0)2+(2−0)2=5

and since the center is (a,b)=(−1,2)by applying the general formula we get:XXX(x+1)+(y−2)2=5

Step-by-step explanation:

its already in the answer