Answer:
Step-by-step explanation:
Distribute first
5x-30=2x+6
add 30 to both sides of the equation
5x=2x+36 (the -30 cancels out)
subtract 2x from both sides
3x=36
divide both sides by 3
x=12
Answer:
The answer is 9/20
Step-by-step explanation:
Add (11/2)^2 to both sides
x^2 + 11x + (11/2)^2 = 3 + (11/2)^2
x^2 + 11x + (11/2)^2 = 133/4
(x + 11/2)^2 = 133/4
x + 11/2 = sqrt of (133/4)
Solutions are
x = (sqrt of (133) - 11))/2
x = (-sqrt of (133) -11))/2
Answer:
Step-by-step explanation:
1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as
L = 2W + 3
where "twice the width" is 2W and "three more" is just adding 3.
2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle
P = 2W + 2L
set the formula to 36 and that gives us our second equation: 36 = 2W + L
then use substitution do solve
