-81=3(5-4r)
27=-(5-4r)
27=-5+4r
-4r=-5-27
-4r=-32
r=8
Hope my answer helped u :)
G((f(x))=1/(1/x)-1
you replace the x in g(x) with f(x).
The diagonal of the rectangular solid is 
Explanation:
The length of the rectangular solid is 
The width of the rectangular solid is 
The height of the rectangular solid is 
We need to determine the diagonal of the rectangular solid.
The diagonal of the rectangular solid can be determined using the formula,

Substituting the values
,
and
, we get,

Squaring the terms, we get,

Adding the terms, we have,

Simplifying, we have,

Thus, the diagonal of the rectangular solid is 
Answer:
y + 1 =
(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )
m =
=
=
=
and (x₁, y₁ ) = (- 2, - 1 ) , then
y - (- 1) =
(x - (- 2) ) , that is
y + 1 =
(x + 2)
Material needed = πD x height
π x 3 x (3 x 12) //multiply by 12 to change the 3 feet to inches
= 339.29 in²
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Answer: 339.29 in²
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