Answer:
35
Step-by-step explanation:
Note that the absolute value always produces a positive result
Given
| a² - 2ac + 5c | ← substitute in given values
= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |
= | 9 - 24 - 20 | = | - 35 | = 35
They give you the equation:
[tex]|a^{2} - 2ac + 5c|[/tex]
We know that:
a = -3
b = 2
c = -4
You can replace the variables with their corresponding values like this:
[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]
You can then go on and do PEMDAS to solve this:
First the exponents:
[tex]-3^{2} = 9[/tex]
[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]
Then you can multiply all that needs to be multiplied together from left to right:
[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]
[tex]|9 - 24 + 5(-4)|[/tex]
[tex](5)(-4) = -20[/tex]
[tex]|9 - 24 + (-20)|[/tex]
[tex]|9 - 24 -20|[/tex]
Now from left to right subtract:
9 - 24 = -15
[tex]|-15 -20|[/tex]
-15 - 20 = -35
[tex]|-35|[/tex]
^^^The | | mean to take the absolute value of the number. In other words make it positive
So the answer to this is 35
Hope this helped!
