You do 17 ft 8 inches multiplied by 11 feet 8 inches which equals 62.8227 feet because the area of a rectangle is base times height
Answer:
x= -14
Step-by-step explanation:
6(x+2)=-72
(you can use the distribution property)
6x+12=-72
-12 -12
6x=-84
/6 /6
x= -14
Answer:
y = 
Step-by-step explanation:
The equation used to find the equation for a line with two intercepts is called point slope form. 
, where 
and 
are the intercept points and m is the slope.
However, we need the slope to use this formula.
Use 
m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}
y - ( -7 ) = m ( x - ( 4 ) )
y - ( -7 ) = -7/4 ( x - ( 4 ) )
y + 7 = -7/4 ( x + 4 )
y + 7 = 
y + 7 = 
y + 7 = 
y + 7 = - 7
y =
Answer:
Step-by-step explanation:
Let the length of one side of the square base be x
Let the height of the box by y
Volume of the box V = x²y
Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy
S = x² + 4xy
Given
S = 7500sq in.
Substitute into the formula for calculating the total surface area
7500 = x² + 4xy
Make y the subject of the formula;
7500 - x² = 4xy
y = (7500-x²)/4x
Since V = x²y
V = x² (7500-x²)/4x
V = x(7500-x²)/4
V = 1/4(7500x-x³)
For us to maximize the volume, then dV/dx = 0
dV/dx = 1/4(7500-3x²)
1/4(7500-3x²) = 0
(7500-3x²) = 0
7500 = 3x²
x² = 7500/3
x² = 2500
x = √2500
x = 50in
Since y = (7500-x²)/4x
y = 7500-2500/4(50)
y = 5000/200
y = 25in
Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.
The Volume of the box V = 50²*25
V = 2500*25
V= 62,500in³
Hence the maximum volume is 62,500in³
