Answer:
The correct choice is

Step-by-step explanation:
The given equation is

We rewrite the left hand side of the equation as a power(a number to a given exponent.

Recall that;

We apply this property to obtain;

Since the exponents are the same, the bases are also the same.
Therefore 
Answer:
1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) 
Step-by-step explanation:
Completing with what was found:
<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>
1. What do x and y represent in this situation?
X stands for individual acts and y, group acts.
Besides that, In the system of equation, they represent the time for x, and the time for y.
2. Do you agree that your classmate set up the equations correctly? Explain why or why not.
Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.
3. Solving the system by Elimination

Answer:
#4 vertex form
and
vertex (h,k)
Step-by-step explanation:
vertex form
-2(x-3)^2+32
vertex
(h,k)
(3,32)
They are always on a coplanar
If the problem looks like mine, the answer is 152.