Mathematics: I give brainliest pls help meee.

I give brainliest pls help meee. - id11964400, sports1997

Ответ:

chaanah

05.06.2020

Mathematics

the equation of the circle is

(x-2)^2+(y+4)^2 = 34

Step-by-step explanation:

Recall that the equation of a circle is given by (x-h)^2+(y-k)^2 = r^2 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 $(\frac{a+c}{2},\frac{b+d}{2})$

In this case we are given the endpoints (-1,-9), (5,1). So the center of the circle is the midpoint obtained by $(\frac{-1+5}{2},\frac{-9+1}{2}) = (2, -4)$ . 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