PLEASE HELP ME 14 POINTS Which of the following represents the product of 6x^3 - 12x^2 + 18x - 24 and 2x^2 ?

Select one:
A. 6x6−12x4+18x2−24
B. 18x3−12x2+18x−48
C. 6x5−24x3+36x2−48x
D. 12x5−24x4+36x3−48x2

D. 12x5−24x4+36x3−48x2

Step-by-step explanation:

Product means multiplication so multiply each term by 2x^2

6x^3 * 2x^2= 12x^5 (think 6*2=12 and you have to add exponents when multiplying them so 3+2=5)

- 12x^2* 2x^2= -24x^4

18x*2x^2=36x^3

-24*2x^2=-48x^2

Add all those together to get 12x5−24x4+36x3−48x2

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

3+x

step-by-step explanation: