If pentagon abcde is rotated 180 degrees around the origin to create pentagon a’b’c’d’e, what is the ordered pair of point c?

C'( 5 , 2 ) .

Step-by-step explanation:

Given  : if pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’B’C’D’E,

To find :  what is the ordered pair of point C.

Solution : We have given that

ABCDE is rotated 180 degrees around the origin.

Coordinates of C  ( -5 , -2)

By the rotation rule of 180° (x ,y) →→ ( -x , -y) .

Then Coordinates of C  ( -5 , -2) →→ C'( 5 , 2 ) .

Therefore,  C'( 5 , 2 ) .

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3