Answer:
B
Step-by-step explanation:
Let the number = x
Product: 4 * x
Add 5: 4x + 5
=
3x + 6
Now equate the two parts.
4x + 5 = 3x + 6 Subtract 5 from both sides
4x + 5 - 5 = 3x + 6 - 5 Combine
4x = 3x + 1 Subtract 3x from both sides
4x-3x=3x -3x + 1 Combine
x = 1
Answer:
i think b
Step-by-step explanation:
The answer would be D.
you would start by choosing one of the variables to eliminate, i chose to eliminate X first. in order to eliminate X, i had to multiply the second equation by -2. X then cancelled out, and i solved for the Y the same way you would a 1 step equation. Y=-4
I then took the first original equations, plugged Y in, and solved for X. X=3.
Hope this helps!
Answer:
Dimension: 2inches by 4 inches
Step-by-step explanation:
Given
![Width = 2wice\ Length](https://tex.z-dn.net/?f=Width%20%3D%202wice%5C%20Length)
Required
Determine the dimension.
This is calculated as :
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
![A = L * W](https://tex.z-dn.net/?f=A%20%3D%20L%20%2A%20W)
So:
![A=L * 2L](https://tex.z-dn.net/?f=A%3DL%20%2A%202L)
![A=2L^2](https://tex.z-dn.net/?f=A%3D2L%5E2)
Substitute 72 for A
![72=2L^2](https://tex.z-dn.net/?f=72%3D2L%5E2)
Divide bith sodes by 2
![36 = L^2](https://tex.z-dn.net/?f=36%20%3D%20L%5E2)
Take square root of both sides
![L = 6](https://tex.z-dn.net/?f=L%20%3D%206)
Recall that:
![Width = 2 * Length](https://tex.z-dn.net/?f=Width%20%3D%202%20%2A%20Length)
Hence:
![LEnhth= 0 * 2](https://tex.z-dn.net/?f=LEnhth%3D%200%20%2A%202)
![LEnhth= 2](https://tex.z-dn.net/?f=LEnhth%3D%20%202)
Hence, the dimension is: 2 by 3 inches
Answer:
x2 • (x2 - 32772)
Step-by-step explanation:
step 1: ((x4) - 22x2) - 32768x2
step 2: Pull out like factors :
x4 - 32772x2 = x2 • (x2 - 32772)
Factoring: x2 - 32772
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 32772 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.