Answer: the length and width are
(x + 8) and (x + 8)
Step-by-step explanation:
The rug has an area represented by the expression
Area = 4x² + 64x + 256.
The factors in the factored expressions represent the length and width of the rug.
Dividing the the equation by 4, it becomes
x² + 16x + 64 = 0
We would find two numbers such that their sum or difference is 16x and their product is 64x^2.
The two numbers are 8x and 8x. Therefore,
x² + 8x + 8x + 64 = 0
x(x + 8) + 8(x + 8) = 0
The factors are
(x + 8)(x + 8)
Answer:
B
Step-by-step explanation:
Took the test
This means that every 1 inch in the drawing is 24 inches of the actual size.
Hope this helps!
Solve equation [1] for the variable x [1] x=(3y+6)
Plug this in or variable x in equation [2]
[2] 2(-3y+6)-y= 10
[2] -7y=-2
// solve equation [2] for the variable y
[2] 7y= 2
[2] y=2/7
By now we know this much
X= -3y+6
Y=2/7
Use the y value to solve for x
X=-3(2/7)+6=36/7
(x,y)=(36,7), (2/7)
Answer:
7x(x - 2y)(x + 2y).
Step-by-step explanation:
First take out the GCF which is 7x:
7x^3-28xy^2
= 7x(x^2- 4y^2)
Now factor the expression in the brackets:
= 7x(x - 2y)(x + 2y) (answer).
