Find the center and radius of the circle with equation (x + 9)^2 + (y + 5)^2 = 64

Step-by-step explanation:

The standard form of a circle is

with the really important part being the x- and the y-. If our first set of parenthesis is

, by the definition of the standard form of a circle, it actually is

which is obviously negative (that's the h of the center of the circle);

If our second set of parenthesis is

, by the definition of the standard form of a circle, it actually is

which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so

Center (-9, -5), radius 8

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

the correct answer is $7.38

step-by-step explanation: