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Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feet
longer than the width.
Which of the following statements is true?
The monomial 3d represents the length of the swimming pool.
The trinomial 2d3 +3d2+1 represents the volume of the swimming pool.
The binomial 6d3 + 4d2 represents the volume of the swimming pool.
The binomial 2d + 3 represents the length of the swimming pool.​

Respuesta :

calculista

Answer:

The binomial 2d + 3 represents the length of the swimming pool

Step-by-step explanation:

Let

l ----> the length of the swimming pool

w ---> the with of the swimming pool

d ---> the depth of the swimming pool

we know that

[tex]w=2d[/tex] -----> equation A

[tex]l=w+3[/tex] ----> equation B

substitute equation A in equation B

[tex]l=2d+3[/tex] -----> equation C

The volume of the swimming pool is equal to

[tex]V=lwd[/tex]

Substitute equation A and equation C in the formula of Volume

[tex]V=(2d+3)(2d)d\\ \\ V=4d^{3}+6d^{2}[/tex]

therefore

The binomial 2d + 3 represents the length of the swimming pool (equation C)

ziocon5106

Answer:

The binomial 2d + 3 represents the length of the swimming pool

Step-by-step explanation:

Just took the Practice assignment on Plato

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