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3 years ago

Which expression can be used to find mU? 19.5 7.5 vo

Mathematics

1 answer:

Xelga [282]3 years ago

8 0

Answer:

Step-by-step explanation:

I know because I know that how

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

ozzi

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

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

6 0

3 years ago

Area=33 sq ft has one side of 3 ft what is the perimeter

Zina [86]

The perimeter should be 11, since 33 divided by 3 is eleven.

6 0

3 years ago

Read 2 more answers

Kate scored 85,78,72, and 81 on 4 math tests. What score does she need on the fifth test to have at least an 80 average?

Elan Coil [88]

I am not good in this kind of question so maybe 84?

suppose the full marks for each of them is 100 so for 5 of them it will be 500 cause if you if you multiply 100 full marks by 5 it will be 500

so the answer to this question is maybe 84?

cause if you add all of them with 84 the outcome will be 400 and if you divide the 400 by 5 it will be 80

4 0

3 years ago

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Kamila [148]

<span>The side b is opposite to the angle B, applying the law of the sines, we have:

</span> $\frac{a}{sinA} = \frac{b}{sinB}$
$\frac{20}{sin30^0} = \frac{b}{sin45^0}$
$\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }$
$20* \frac{ \sqrt{2} }{2} = b* \frac{1}{2}$
$\frac{20 \sqrt{2} }{2} = \frac{b}{2}$
$2*b =2*20 \sqrt{2}$
$2b = 40 \sqrt{2}$
$b = \frac{40 \sqrt{2} }{2}$
$\boxed{b = 20 \sqrt{2} }$

6 0

3 years ago

Read 2 more answers

PLEASE HELP WITH THIS

bogdanovich [222]

Answer:

$xlog__{2}6$

Step-by-step explanation:

In logarithmic functions, if we have an exponent say the $x$ in $6^x$ , we can "pull it down" from the power and multiply it next to the log.

4 0

2 years ago