Answer:
x = 3
Step-by-step explanation:
Given
= x - 4 ( square both sides )
- x 4 = (x - 4)² ← expand
- x + 4 = x² - 8x + 16 ( subtract - x + 4 from both sides )
0 = x² - 7x + 12 ← in standard form
0 = (x - 3)(x - 4) ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
x = 3 : 
= 
= 1
right side = 3 - 4 = - 1
left side ≠ right side ⇒ extraneous solution
x = 4 : 
= 0 and right side = 4 - 4 = 0
left side = right side ⇒ x = 4 is the solution
First you would distribute and get -6w-18=12 and w=5
To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.
The perimeter of the parallelogram is 13 units.
<h3>Perimeter of a Parallelogram</h3>
To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.
The perimeter of MNOP can be calculated as
We can substitute the values into the equation and solve
The perimeter of the parallelogram is 13 units.
learn more on perimeter of a parallelogram here;
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What are the sides of the rectangular prisms ?
<span>The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.</span>
<span><span>One SolutionNo SolutionsInfinite Solutions</span><span /><span><span>If the graphs of the equations intersect, then there is one solution that is true for both equations. </span>If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.</span></span>
When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Some special terms are sometimes used to describe these kinds of systems.
<span>The following terms refer to how many solutions the system has.</span>
