Relative to the circle with the equation x +y = 4, how has the circle with the equation (x + 5)2+(-6) = 4 been shifted?
What is the radius of the circle?

Circle (ii) shifted 5 units left and 6 units up to get the circle (iii).

The radius of the circle is 2 units.

Step-by-step explanation:

The standard form of a circle is

       ...(i)

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

Consider the given equations of the circle are

     ...(ii)    

    ...(iii)

From (i) and (ii), we get

So, the center of circle (ii) is (0,0) and radius is 2.

From (i) and (iii), we get

So, the center of circle (iii) is (-5,6) and radius is 2.

Therefore, the circle (ii) shifted 5 units left and 6 units up to get the circle (iii). The radius of the circle is 2 units.

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184