Answer:
x ∈ (-∞, -2) ∪ (2, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that compose the expression:
.
Observe the attached image.
We know that the first two roots are not allowed because they make zero the denominator, we also know that (x + 5) ^ 2 is always positive because it is squared, so it is not necessary to include the numerator in the study of signs.
Note that:
when 
when 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -2) ∪ (2, ∞)
Answer: 
<u>Step-by-step explanation:</u>
Let (-3, -8) = (x₂, y₂) and (-12, -20) = (x₁, y₁)
Slope (m) = 
= 
= 
= 
=
<em>simplified</em>
The answer to this question is 18x+6
Answer:
2 3/4
Step-by-step explanation:
Answer:
Answer a: mST=20
Answer b: mST=48
Step-by-step explanation:
Problem a:
3a-5=2a+50
a=55
2(55)+50=160
180-160=20
Problem b:
180=4c-12
192=4c
48=c