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2 years ago

Cube M has an edge length of

Mathematics

1 answer:

jeka57 [31]2 years ago

3 0

Answer:

Step-by-step explanation:

6*(8*2)^2/(6*8^2)=2^2=4

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Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)

natima [27]

$\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}$

$x^3=x\cdot x^2$ , and $x(x^2+2x+1)=x^3+2x^2+x$ . Subtracting this from the numerator gives a remainder of

$(x^3+10x^2+13x+39)-(x^3+2x^2+x)=8x^2+12x+39$

$8x^2=8\cdot x^2$ , and $8(x^2+2x+1)=8x^2+16x+8$ . Subtracting this from the previous remainder gives a new remainder of

$(8x^2+12x+39)-(8x^2+16x+8)=-4x+31$

$-84x$ is not a multiple of $x^2$ , so we're done. Then

$\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=x+8+\dfrac{-4x+31}{x^2+2x+1}$

4 0

2 years ago

5/4 to 3/8 as a percent change

Digiron [165]

Well, what's the diffrence from 5/4 to 3/8?

$\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}$

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}$

5 0

3 years ago

Factor −1/9 out of −1/9x−3.

Zanzabum

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

3 0

3 years ago

Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical withou

AnnyKZ [126]

Answer:

split the four extra pieces into smaller pieces to were it will give each plate the same amount.

Step-by-step explanation:

4 0

3 years ago

If 5 of 22 students are hearing impaired - what fraction of students are hearing impaired

Shtirlitz [24]

5/22 the number you get from the total becomes the numerator and the total amount becomes the denominator

7 0

3 years ago