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Temka [501]
3 years ago
15

What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

Mathematics
1 answer:
olganol [36]3 years ago
8 0
\dfrac{x+6}{3}-\dfrac{x+2}{3}=\\\dfrac{x+6-x-2}{3}=\\
\dfrac{4}{3}
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A rectangle has a length of 11 meters less than 10 times its width. If the area of the rectangle is 9888 square meters, find the
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Step-by-step explanation:

The Length ,

L

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substitute to

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(

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(

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e

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A

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(

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(

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8804

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(

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divide both sides by 2

4402

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(

5

W

−

13

)

(

W

)

4402

=

5

W

2

−

13

W

transposing 4402 to the right side of the equation

0

=

5

W

2

−

13

W

−

4402

by quadratic formula

W

=

−

(

−

13

)

+

√

(

−

13

)

2

−

4

(

5

)

(

−

4402

)

2

(

5

)

W

=

[

13

+

√

169

+

88040

]

10

W

=

13

+

(

√

88209

)

10

W

=

13

+

297

10

W

=

310

10

W

=

31

ft

Thus ,

L

=

10

W

−

26

=

10

(

31

)

−

26

L

=

284

f

t

.

answer

W

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−

(

−

13

)

−

√

−

(

−

13

2

)

−

4

(

5

)

(

−

4402

)

2

(

5

)

this is discarded since this will yield a negative

8 0
3 years ago
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vova2212 [387]

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fiasKO [112]

Hi!

3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}

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