Answer:
Volume of the box = x^3 - 4x^2
Step-by-step explanation:
V = L × W × H
Where,
V = volume of the rectangular prism
L= Length
W = Width
H = Height
volume of the rectangular prism = length × width × height
Length = x
Width= length = x
Height = x - 4
V = L × W × H
= x * x * (x - 4)
= x^2 (x - 4)
= x^3 - 4x^2
V = x^3 - 4x^2
Volume of the box = x^3 - 4x^2
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer:
Option A
Step-by-step explanation:
We need to find two expressions that, when simplified, give the same results.
1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by
. You also have to multiply
and
by 4. Then, simplify.

2) Now, combine the like terms.


So, we need to find which of the expressions listed equal 8x - 6.
3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by
. Also, multiply 30x and 18 by
. Then, combine like terms and simplify.

This also equals 8x - 6. Therefore, option A is the answer.
Answer:
12
Step-by-step explanation:
4y - 2x
= 4(7) - 2(8)
= 28 - 16
= 12
Answer:
-32-p
Step-by-step explanation:
you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with