Using the given information find the length and width of the base:
Perimeter = 2L + 2W
L = 3W
Replace L in the first equation:
Perimeter = 2(3W) + 2w
96 = 2(3W) +2W
Simplify:
96 = 6W +2W
96 = 8w
Divide both sides by 8:
w = 96 / 8
w = 12
The width is 12 inches.
The length = 3 x 12 = 36 inches.
Volume = L x W X H
Volume = 36 x 12 x 14
Volume = 6,048 cubic inches.
We can then write an equation representing this problem as:
e−1.5mi=5.25mi
Now, add 1.5mi to each side of the equation to solve for e while keeping the equation balanced:
e−1.5mi+1.5mi=5.25mi+1.5mi
e−0=6.75mi
e=6.75mi
The plane's starting elevation was 6.75 miles
Hope this helps!
45. Using order of operations.
The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
Answer:
77 cubed in.
Step-by-step explanation:
I think it is 77 cubed inches because the formula is V-bh