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2 years ago

How to multiply fractions

2 answers:

8 0

To multiply fractions, multiply the numerator and denominator of the first fraction by the numerator and denominator of the second fraction. For example, 1/2•3/4. 1 times 3= 3. 2 times 4= 8. I hope this helped!

Nutka1998 [239]2 years ago

7 0

Hello there!

To multiply fractions...

Simplify the fractions if not in lowest terms.

Multiply the numerators of the fractions to get the new numerator.

Multiply the denominators of the fractions to get the new denominator.

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Find the value of x and then classify the triangles

ZanzabumX [31]

6. x = 16; it's a scalene triangle

7. x = 45; it's a right triangle.

8 0

2 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago

CAn someone help with this question

polet [3.4K]

Answer: if the blue rectangles are x, then x = 1/2

1/2 + 1/2 = 1

the green shapes each = 1

so you have 1 + 1 + 1 = 3 which is true so

x = 1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed. Complete the statements to represent the change i

MrRa [10]

Answer:

he owes 9

Step-by-step explanation:

trying to get brainly

5 0

2 years ago

Read 2 more answers

X+6/2 + 5−4x/3 − 8−x/6 =0

natka813 [3]

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6

6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

6 0

2 years ago