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3 years ago

15

Steven cut a wire into 5 equal pieces. He started with a wire that was 6.8 meters long. How many meters long was each piece thar

Steven cut?

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

it is 1.36 meters long

Step-by-step explanation:

sineoko [7]3 years ago

4 0

6.8 / 5 = 1.36 meters.

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$\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}$
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$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}$
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When $x=0$ , you find that $b=2$ . It's also clear that $a=1$ . So the remaining constants must be $1+c=1\implies c=0$ and $2+d=1\implies d=-1$ , and so you get

$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}$

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3 years ago