Answer:
153 ways.
Step-by-step explanation:
The answer is the number of combinations of 2 from 18
= 18! / 2! (18-2)!
= 18! / 2! 16!
= 18*17*16! / 2! 16!
= 18 * 17 / 2*1
= 9 * 17
= 153 ways.
Well,
Given that
,
We can rewrite the equation like,

Now use,
which implies that 
That means that,

By def
therefore 
So the fraction now looks like,

Which is equal to the identity,

Hope this helps.
r3t40
<h3>
Answer: Choice D. </h3>
Morgan forgot to distribute the negative sign to two of the terms in the second expression.
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Explanation:
Focus on the numerators.
We have (3t^2-4t+1) as the first numerator and we subtract off (t^2+2t+2) as the second numerator.
Morgan needs to simplify (3t^2-4t+1)-(t^2+2t+2) for the numerator.
Mistakenly, she had these steps
(3t^2-4t+1)-(t^2+2t+2)
3t^2-4t+1-t^2+2t+2 .... her mistake made here
(3t^2-t^2)+(-4t+2t)+(1+2)
2t^2-2t+3
All of this applies to the numerator. The denominator stays at t+3 the entire time. So effectively we can ignore it on a temporary basis.
Here's what Morgan should have for her steps when simplifying the numerator.
(3t^2-4t+1)-(t^2+2t+2)
3t^2-4t+1-t^2-2t-2 ..... distribute the negative
(3t^2-t^2)+(-4t-2t)+(1-2)
2t^2-6t-1
Note in the second step, the negative outside flips the sign of each term in the second parenthesis.
Therefore,

which means 
Side notes:
- The fractions can only be subtracted since the denominators are the same.
- We have
to avoid a division by zero error. - Rational expressions are a fraction, or ratio, of two polynomials.
Answer:
Clearly not
Step-by-step explanation:
Look up the definition of dilation and then ask yourself how could it be. Telling you the explanation in detail would be doing your homework for you.