Q # 2 please help to resolve

Mathematics

1 answer:

yan [13]3 years ago

5 0

By definition, the volume of a rectangular prism is given by:
$V = (w) * (l) * (h)
$
Where,
w: width
l: length
h: height
Substituting values we have:
$4x ^ 8 + 3x ^ 6 = (x) * (x) * (h)
$
Rewriting we have:
$4x ^ 8 + 3x ^ 6 = x^2 * (h)
$
Clearing h we have:
$h = \frac{4x ^ 8 + 3x ^ 6 }{x ^ 2}$
Then, for power properties we have:
$h = 4x ^ {8-2} + 3x ^ {6-2} h = 4x ^ {6} + 3x ^ {4}$
Answer:
The heigh of the box is:
$h = 4x ^ {6} + 3x ^ {4}$
option D

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