The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given b
y the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)
a. 8x - 3
b. 3x - 5
c. 5x + 3
d. 42x + 3
2 answers:
H = V / B
<span>= 10x3 + 46x2 – 21x – 27 / 2x^2 + 8x - 9
</span>= 5x + 3
Answer
option (c) is correct .
To proof
Reason
Formula
Volume of the rectangular prism = Base × Height
The expression is in the Question be
10x ³ + 46 x² - 21x -27
And the area of the base of the prism is given by the expression
2x² + 8x - 9 .
Put in the formula
10x ³ + 46 x² - 21x -27 = 2x² + 8x - 9 × Height
The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .
put in the formula
(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height
Cancelled 2x² + 8x - 9 on both side.
(5x+3)unit = Height
Hence proved
You might be interested in
7 times 10 equals 70. Hope this helps (:
I would have to go with C. i might be wrong hope its right if it is rate please
The surface 5 cm, and the length is 10 cm
Answer:
x=10
Step-by-step explanation:
Answer:
Step-by-step explanation:
1, positive numbers
2, negative numbers
3, opposites
4, rational
5, integer