The points J(-1,-9) and K(5,1) are endpoints of a diameter of circle S. Which equation represents circle S? A. (x − 2)2 + (y + 4)2 = 34 B. (x − 2)2 + (y + 4)2 = 136 C. (x + 2)2 + (y − 4)2 = 34 D. (x + 2)2 + (y − 4)2 = 136

the equation of the circle is

Step-by-step explanation:

Recall that the equation of a circle is given by where r is the radius, and (h,k) is the center. Recall that given two points that are the endpoints of a diameter, the center of the circle is their correspondent midpoint. Also, recall that given points (a,b), (c,d) their midpoint is obtained by

In this case we are given the endpoints (-1,-9), (5,1). So the center of the circle is the midpoint obtained by . Recall that the radius of a circle is the distance from the radius to any of the points of the circle. So, the radius is the distance between the center and the point (-1,-9). We will calculate r^2, by using the distance formula. REcall that the distance between points (a,b), (c,d) is given by

. So, its square is

.

In our case,

So, the equation of the circle is

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step-by-step explanation:

i need the table so i can see

step-by-step explanation: