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Alik [6]
3 years ago
8

Rationalize the denominator and simplily.​

Mathematics
2 answers:
pychu [463]3 years ago
4 0

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\

             =\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}

mote1985 [20]3 years ago
3 0

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

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Basile [38]

Answer:

The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.

Step-by-step explanation:

Any way here is the mathematical explanation/solve to this statement.

As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.

Area:

A=b*h= (6+2x)(11+2x)\\\\A=28=66+12x+22x+4x^2}\\\\Simplifing\\\\4x^2+34x+38=0\\\\

Solving the equation to find the roots (values of x):

x=\frac{-b+- \sqrt{b^2-4ac} }{2a}=\frac{-34+-\sqrt{546} }{8}  \\\\solving\\\\x=-7.2\\\\x=-1.3\\

So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66 cm^2.

8 0
3 years ago
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My name is Ann [436]

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7 0
3 years ago
Comparing freezers
zvonat [6]

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8 0
3 years ago
7. 2+ 32 = 5+ 3z
SVETLANKA909090 [29]

Answer:

z=9\frac{2}{3}

Step-by-step explanation:

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katen-ka-za [31]

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