Acircle has its center at the origin and has a diameter of 24 units.

what is the standard equation of the circle?

b. x² + y² = 12²

Step-by-step explanation:

A circle has a general equation of:

(x + h)² + (y – k)² = r²

where h and k are the center (h,k) and r is the radius.

The circle is centered at origin (0, 0), so h=0, k=0.

The diameter is 24, but we want the radius instead. So divide the diameter by 2 to get the radius. r = 24/2 = 12

Plug it into the equation

(x + h)² + (y – k)² = r²

(x + 0)² + (y – 0)² = 12²

x² + y² = 12²

B

Step-by-step explanation:

radius=24/2=12

eq. of circle is

x²+y²=12²

We get the a=2b-3 from the statement "natasha stole three fewer bases than twice the number elena stole."the problem also states "natasha stole 15 bases", meaning a=15. so, because a=2b-3 and a=15, we can set the these two values to each other to the transitive property of equality (if a = b and b = c, then a = c).so, accordingly, we can create the problem , and then solve for b.