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3 years ago

Find the length of the missing side and leave the answer in simplest radical form.

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

Answer:

3√5 ft

Step-by-step explanation:

third side=√(9²-6²)=√(81-36)=√(45)=3√5 ft

vichka [17]3 years ago

8 0

Answer:

3√5 ft

third side=√(9²-6²)=√(81-36)=√(45)=3√5 ft

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Partial fraction decomposition<br> 20x+9/25x^2+20x+4

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Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$

$a + (5x + 2)b = 20x + 9$

$5b (x)= 20$

$a + 2b = 9$

$b = 4$

so that means that a is

$a + (2)(4) = 9$

$a + 8 = 9$

$a = 1$

So our equation is

$\frac{1}{(5x + 2) {}^{2} } + \frac{4}{5x + 2}$

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2 years ago

Read 2 more answers

sukhopar [10]

Answer:

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