Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
540°
Step-by-step explanation:
The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.
Answer:
Option B. 7.6
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
where
k is the constant of proportionality
The slope of the linear equation is the same that the constant of proportionality
In this problem we have

so
the slope is 
therefore
The constant of proportionality k is 
Count down until you reach the line the point is on and count to lines until you reach the point
In this case down 2 and right 4
So your slope is negative
And the line crosses the y-axis at 1 so you intercept is 1
-2/4x+1 would be correct but it is not simplified
-1/2x+1 is the correct answer because the equation is simplified