2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
You can manipulate the number to make them easier to handle
3 and 1/3 times 12=36+4=40
6 and 1/4 times 12=72+3=75
so is 40=100% then wha is 75
40 and 75
divide by 2
20 and 37.5
multiply by 5
100 and 187.5
100=100% and 187.5=187.5%
187.5-100=87.5%
87.5% increase
Answer:

Step-by-step explanation:
We will need to solve the inequality:
–3x – 4 < 2
Before starting we need to understand 1 rule of inequalities. That is:
We change the inequality sign whenever we multiply or divide by a negative number. That means
< changes to >
and
≥ change to ≤
and vice versa...
Now, let's go ahead and solve the inequality:

"x" is the set of all values that is greater than "-2". So that's the answer.
x > -2
This is just my guess but I want to say no they are not similar because the first 10 + 5 = 15
8 + 5 = 13 not 12
To make it similar, 8 needs to be 7. This is ONLY my guess, I’m not 100% confident in my answer
Answer:
Step-by-step explanation:
α and β are Supplementary (given)
It is given that:
Plugging the value of α in equation (1), we find:
So,
