Answer:
4x+20=
6x-10
Step-by-step explanation:
Simplifying: 4x + 20 = 6x + -10
Reorder the terms: 20 + 4x = 6x + -10
Reorder the terms: 20 + 4x = -10 + 6x
Solving: 20 + 4x = -10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation: 20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x: 20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0: 20 + -2x = -10 + 0: 20 + -2x = -10
Add '-20' to each side of the equation: 20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0: 0 + -2x = -10 + -20: -2x = -10 + -20
Combine like terms: -10 + -20 = -30: -2x = -30
Divide each side by '-2': x = 15
Simplifying: x = 15
Answer:
(2x-3) (2x+3)
zeros, x intercepts: -3/2, 3/2
Step-by-step explanation:
4x^2 -9
We know the difference of squares is a^2 -b^2
This factors into (a-b) (a+b)
Let 4x^2 =a^2
Taking the square root
2x =a
Let b^2 =9
Taking the square root
b= 3
(4x^2-9 ) = (2x-3) (2x+3)
To find the zeros, we set the equation equal to zero
(4x^2-9 ) = (2x-3) (2x+3) =0
Using the zero product property
2x-3 =0 and 2x+3 =0
2x-3+3 = 0+3 2x+3-3 = 0-3
2x=3 2x=-3
Divide by 2
2x/2 = 3/2 2x/2 = -3/2
x = 3/2 x = -3/2
These are the zeros of the equation (which are also the x intercepts)
Answer:
Step-by-step explanation:
Answer:
Surface area is 66 units.
Step-by-step explanation:
I calculated the area of each rectangle in the net.
3 x 7= 21
3 x 7= 21
2 x 3= 6
2 x 3= 6
2 x 7= 14
21 + 21 + 6 + 6 + 14 = 66
