Question 162018
Since the center is (-5,-1) this means that h=-5 and k=-1. Remember, the center is at (h,k). Also, since the radius is 5, this tells us that r=5



{{{(x-h)^2+(y-k)^2=r^2}}} Start with the general equation of any circle



{{{(x-(-5))^2+(y-(-1))^2=5^2}}} Plug in {{{h=-5}}}, {{{k=-1}}}, and {{{r=5}}}



{{{(x+5)^2+(y+1)^2=5^2}}} Rewrite {{{x-(-5)}}} as {{{x+5}}}. Rewrite {{{y-(-1)}}} as {{{y+1}}}



{{{(x+5)^2+(y+1)^2=25}}} Square 5 to get 25



So the standard equation of the circle with a radius of 5 and the center (-5,-1)  is {{{(x+5)^2+(y+1)^2=25}}} which means that the answer is B