What is the equation of the circle that has a center at (-3, 1) and a radius of 5? a) (x + 3)2 + (y - 1)2 = 5 b) (x - 3)2 + (y + 1)2 = 5 c) (x + 3)2 + (y - 1)2 = 25 d) (x - 3)2 + (y + 1)2 = 25

C

Step-by-step explanation:

The vertex form of the equation of a circle is where (h,k) is the center of the circle and r is the radius. This means that for the circle with center (-3,1) and radius 5 substitute into the vertex form these values. Substitute h = -3, k= 1, and r = 5. The equation becomes . This simplifies to . The solution is C.

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.