Answer:
w = 4 1/2
l = 6
Step-by-step explanation:
w = width
2w-3 = length
A = lw
27 = w(2w-3)
27 = 2w² - 3w
subtract 27 from each side:
2w² - 3w - 27 = 0
factor:
(2w-9)(w+3) = 0
solve each for 'w':
w = 9/2
w = -3 (This answer can be discounted because a length cannot be negative)
width = 9/2
length = 2(9/2) - 3 which is 6
Answer:
Even powered functions that do not move left or right
(
, 
, 
... )
Step-by-step explanation:
, , ... would all be symmetrical to the y-axis.
A horizontal shift in the graph like 
would not be symmetrical to the y-axis.
Answer:
120
Step-by-step explanation:
Using factorial, we can calculate the total possible number of combinations to line up.
5! = 120.
5! is another way of saying 5 × 4 × 3 × 2 × 1
Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )
