Answer:
The equation is [tex]9x(x+2)=1,080.[/tex]
The solution of the equation is x=10.
Step-by-step explanation:
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Let x ft be the widht of the stall, then the length of the stall is x+2 ft. If each stall must be 9 ft high, then the volume of the stall is [tex]V=x\cdot (x+2)\cdot 9=9x(x+2)\ ft^3.[/tex]
The volume of each stall is [tex]1,080\ ft^3,[/tex] then
[tex]9x(x+2)=1,080,\\ \\x(x+2)=120,\\ \\x^2+2x-120=0,\\ \\D=2^2-4\cdot (-120)=4+480=484=22^2,\\ \\x_{1,2}=\dfrac{-2\pm 22}{2}=-12,\ 10.[/tex]
The width cannot be negative, thus, [tex]x=10.[/tex]
Answer:
9 [tex]x^{2}[/tex] + 18 x = 1,080
Yes. (is it possible for the width of a stall to be 10 feet?)
Step-by-step explanation:
Correct answer on Plato/Edmentum test
