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.

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

-----> equation A

----> equation B

substitute equation A in equation B

-----> equation C

The volume of the swimming pool is equal to

Substitute equation A and equation C in the formula of Volume

therefore

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

h

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .