First you plug 10 into g(x)
(10-4)
6
Next you plug in 6 into f(x)
6^2+1
36+1
=37
C, 2/3 and 8/12 is the answer.
Answer: Choice B

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Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,

which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because

We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.
We start with:
y=2x-15
y=5x
Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>
But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.
y=2x-15
(-y)=(-5x)
Now simplify.
-3x-15=0
Add 3x on both sides.
3x=15
Divide by 3 on both sides.
x=5
Negative five pi divided by two