Answer:
Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The volume of a rectangular prism is equal to
where
B is the area of the base of the prism
H is the height of the prism
In this problem we have
The area of the base B is equal to
The height H is equal to
therefore
The volume is equal to
The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer:
(x, y, z)
(5,-2,3)
Step-by-step explanation:
try plugging those into the equation.
just to make sure I was correct.
<span>0.833333333333333 is the answer</span>
