Answer:
Step-by-step explanation:
36 d²-36 d+9=9(4d²+4d+1)
=9[4d²+2d+2d+1]
=9[2d(2d+1)+1(2d+1)]
=9(2d+1)(2d+1)
=9(2d+1)²
=[3(2d+1)]²
=(6d+6)²
length=6d+6
perimeter=4(6d+6)=24d+24
when d=2
length=6×2+6=18in
perimeter=4×18=72 in
area=18²=324 in²
Answer: The required value is

Step-by-step explanation: The given functions are:

We are given to find the value of 
We know that, if s(x) and t(x) are any two functions of a variable x, then we have

Therefore, we have

Thus, the required value is

Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:

Given the following points:
and 
You can identify that:

Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between
and
is:

Answer:
82.72m
Step-by-step explanation:
Volume = πr2h
= 3.142*7*7*14
= 2,155.41m³
Now that we hav the volume of earth, we go on to find the raduis of the spread
2155.41m³ = 3.142*r²*0.4
2155.41m³ = 1.26r²
r² = 1,710.64
r = 41.36m
Width = diameter = 2r = 82.72m