What is the image of n for a 300 degree counterclockwise rotation about the center of the regular hexagon?
a.) g
b.) h
c.) a
d.) e

B) H  

Step-by-step explanation:

Notice that a regular hexagon has a six-fold rotational symmetry.

Every time you rotate it about its centre by one-sixth of a circle (60°), you map a vertex onto the one next to it.

If you rotate the hexagon 300° counterclockwise, that is equivalent to rotating it 60° clockwise.

When you rotate the hexagon 60° clockwise (one-sixth of a circle),

Point N maps onto point H.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

a 360 degree rotation

step-by-step explanation: