So you want to take out the GCF first.
The GCF is 2x
2x(x^2+2x+4)
This is your final answer because there is not other way to factor.
Answer:
8 and yes
Step-by-step explanation:
c² - b² = a²
100 - 36 = a²
64 = a²
a = 8
the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles and .
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
Now we have two equations. If we simplify them, we get these:
Now you can substitute in the first equation for in the second equation
Add to both sides of the equation
Add to both sides
Divide both sides by 3
Now, you can substitute for in the first equation and simplify.
Therefore,
, and
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