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3 years ago

8x+23/(x+3)(x+2) partial fraction decomposition

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

6 0

Answer:

1/(x+3)+7/(x+2)

Step-by-step explanation:

I'm assuming the full numerator is (8x+23)... and by making that assumption I'm assumed the fraction was (8x+23)/[(x+3)(x+2)].

(8x+23)/[(x+3)(x+2)]=A/(x+3)+B/(x+2)

8x+23=A(x+2)+B(x+3) I multiply both sides by (x+3)(x+2)

Set x to -2 that gives -16+23=B so this means B=7

Set x to -3 instead that gives -24+23=A(-1) so this means A=1

So (8x+23)/[(x+3)(x+2)]=1/(x+3)+7/(x+2)

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Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th

BaLLatris [955]

For this case, what we must do is find the distance between each ordered pair.
For this, we use the formula of distance between points.
We have then:
$d = \sqrt{(x2-x1)^2+(y2-y1)^2}$

For (0, 0) and (0, 7):
$d1=\sqrt{(0-0)^2+(7-0)^2}$
$d1=\sqrt{(0)^2+(7)^2}$
$d1=\sqrt{0+49}$
$d1=\sqrt{49}$
$d1=7$

For (0, 7) and (5, 7):
$d2=\sqrt{(5-0)^2+(7-7)^2}$
$d2=\sqrt{(5)^2+(0)^2}$
$d2=\sqrt{25+0}$
$d2=\sqrt{25}$
$d2=5$

For (5, 7) and (5, 0):
$d3=\sqrt{(5-5)^2+(7-0)^2}$
$d3=\sqrt{(0)^2+(7)^2}$
$d3=\sqrt{0+49}$
$d3=\sqrt{49}$
$d3=7$

before returning home the total distance is:
$d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19$

Answer:
before returning home Tommy walks about 19 blocks

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3 years ago

Find the area of a right triangle with a base of 38 cm and height of 26 cm.

Marianna [84]

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

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3 years ago

Read 2 more answers

The Perimeter of a rectangle is 36. If there's 5n + 3 and 1/4n + 2, what's the value of n?

seropon [69]

Perimeter: 36

5n + 3 = 36
5 · 6.6 + 3 = 36

N = 6.6
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Perimeter: 36

1/4n + 2 = 36
1/4 · 136 + 2 = 36

N = 136

Hopefully i understood the question correctly :) Hope this helps

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3 years ago

The Flynn family eats at a restaurant that is having a 5% discount promotion. Their meal costs $62.62, and they leave an 18% tip

mr Goodwill [35]

5% of $62.62= 3.13$
18% of $62.62= 11.28$
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3 years ago

How do you solve this equation?

Natasha2012 [34]

Answer:

$5 \sqrt{2}$

= 7.071067812

Step-by-step explanation:

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2 years ago