Answer:
12 i think. I used a calculator ngl. but I think it's 12$
Answer:
Multiply each term by LCM of 3 and 4 which is 12
Step-by-step explanation:
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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1/2 hr* (5 miles/ 1 hr)= 2.5 miles.
2 1/2 hrs* (5 miles/ 1 hr)= 12.5 miles.
Malia runs 2.5 miles and 12.5 miles in 1/2 hr and 2 1/2 hrs respectively.
Hope this helps~
Sin means to divide the opposite side measure by the hypotenuse. Cos is equal to the adjacent side value divided by the hypotenuse. Tan is equal to the opposite value divided by the adjacent. To remember this, I use the abbreviation SOHCAHTOA. SOH for Sin is Opposite over Hypotenuse, and so on.
