Hello, 3Coli here!
Here is the answer to your question:
The variable B stands for the area of the base.
In this prism, B equals 38.5 in.^2
The variable H stands for height.
In this prism, h is 9 in.
The volume of the prism is 346.5 in.^3
Hopefully, this helps! :D
Good luck with your assignment.
Answer:


Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:

Subtract 40 from both sides:

Divide both sides by 3:

Add the square of half the coefficient of
to both sides:


Factor the left side and simplify the right side:

Square root both sides:

Add 4 to both sides and simplify the radical:



Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
<em />
Given expression:

In this case:


To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:

Simplifying:



Answer: The remainder is 15.