Volume of a rectangular prism = 40 cubic feet.
Volume of a rectangular prism = length * width * height
width = x
length = 1 foot greater than its width = x + 1
height = 2 feet less than its width = x - 2
l * w * h = 40 ft³
(x+1) * x * (x -2) = 40
(x² + x)(x-2)
x³ - 2x² + x² + 2x = 40
x³ - x² + 2x - 40 = 0
solve for the value of x. I used the calculator to get the volume.
width = x = 4
length = x + 1 = 4 + 1 = 5
height = x - 2 = 4 - 2 = 2
V = 4 * 5 * 2
V = 20 * 2
V = 40 ft³
square root of (x+2)^2 = x+2
square root of 4 = 2
so equation will now be x+2 =2
Answer:
A) they are parallel because their slopes are equal.
Step-by-step explanation:
Parallel means that their slopes are equal
If they were negative reciprocals they would be perpendicular.
Answer: The shirt originally cost 125 dollars.
Step-by-step explanation: The shirt on sale is 25% off. So first multiply 25 by 5 and you get 125. So 125 is the originall price. Her final cost is 25 dollars. Last step: 125 divided by 5 equals 25 dollars.
