If
and
are inverses of each other, then we have

Since
, we have

Solve for
:

(provided that <em>x</em> ≠ 0 and <em>x</em> ≠ -2)
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
4x99=396in
1 yard=36 in
so there for mandy needs 11 yards of trim
Answer:
5.5 gallons
Step-by-step explanation:
set up a proportion; Liters in numerator and Gallons in denominator
let x = approx number of gallons
<u> 21 </u> = <u> 3.8 </u>
x 1
3.8x = 21
x = 21 ÷ 3.8
x ≈ 5.5
Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)