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3 years ago

Solve the proportion using any method.

Mathematics

1 answer:

solmaris [256]3 years ago

4 0

You are given ¾ = blank / 7. You can solve this by,

¾ = blank / 7

Blank = 7 (3/4)

Blank = 21/4

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Please help me asap i need help i will give 10 points

saul85 [17]

Answer:

C. 189

Step-by-step explanation:

Each triangle is 27 which makes it 108, and 108+81=189

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3 years ago

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amid [387]

Answer:

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Step-by-step explanation:

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3 years ago

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valkas [14]

Check the picture below.

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3 years ago

I need help in partial fraction!! With simple explaination would be nice!

WITCHER [35]

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}$

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}$

Now the second term can be decomposed into partial fractions.

$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}$
$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}$
$4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)$
$4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1$
$\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3$
$\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}$

So

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}$

3 0

3 years ago

a four pack of 42 ounce sells for 85.99 $ the expression 42c represents the amount of link in a number of cartridges.what does t

Goshia [24]

There is one c per 42 ounces>

7 0

4 years ago