X^3 +x^2 +x +1 = x^2(x +1) + x +1 = (x^2 +1)(x +1)
hope helped
X - how long she has lived in New York;
2x - - how long she has lived in California;
x + 2x + 8 = 62 => 3x + 8 = 62 => 3x = 54 => x = 54 / 3 => x = 18 years.
Perimeter = 24
triangle perimeter = 2W + 2L
24= 2W + 2L
12 = W + L
L= 12-W
AREA = W*L
AREA = (W)(12-W)
A = 12W-W^2
maximum occurs when you take the derivative
d/dw=12-2w = 0
w=6
after this i think we can say 6 * 6 = 36 is the maximum area.. not to sure, havent done a problem like this in a while
hope this helps
or if we know what w=6 we can find L
L = 12-w which we still get 6<span />
17 because -17 is 17 units away from 0.
The height will be 4 cm.
Explanation
<u />The volume of a cylinder is given by the formula V=πr²h. For a volume of 36π cm³ and a radius of 3 cm,
36π = π(3²)h
36π = 9πh
Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h