The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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Answer:
The vertical height is 
Step-by-step explanation:
we know that
In the right triangle ABC
see the attached figure
To find the height h apply the Pythagoras Theorem
we have
substitute
Answer:
(x+4)^2 + (y-9)^2 = 25
Step-by-step explanation:
We can use the equation (x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5
(x- -4)^2 + (y-9)^2 = 5^2
(x+4)^2 + (y-9)^2 = 25
Answer:
Each side of the triangle is 4cm and each angle is 60 degrees
Step-by-step explanation:
