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expeople1 [14]
3 years ago
14

Rationalize the denominator and simplify. I will give brainliest (\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

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Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four
ICE Princess25 [194]
An arithmetic sequence takes the form

a_n=a_{n-1}+d

where d is the common difference between terms. You can solve for a_n in terms of any of the previous terms of the sequence:

a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd

for some integer 1\le k\le n-1

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term a_1

a_n=a_1+(n-1)d

Given that the 4th term is a_4=-6 and the 11th term is a_{11}=-34, you have the following system of equations.

\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}

Solving this system for the two unknowns yields a_1=6 and d=-4.

So, the sequence is given explicitly by

a_n=6+(n-1)(-4)=-4n+5
3 0
3 years ago
Help please :( I can’t seem to get the answer
igomit [66]

Answer:

6 i don't know what the unit is, but its 6 for time

Step-by-step explanation:

It is a two step problem

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I hope that helps you :)

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3 years ago
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svetoff [14.1K]
He made $72

Hope this helps! :)
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3 years ago
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Find the area of the triangle that has a base of 5 in. and a height of 3 3/4in
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3 years ago
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X= - x/2+9 if that is what you are asking

or -2x+18

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