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3 years ago

In the figure below an angle that is supplementary to angel FAB is:

Mathematics

1 answer:

Vlad1618 [11]3 years ago

3 0

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

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Write an expression equivalent to -12/27 (it is a fraction)

rusak2 [61]

-4/9 is simplified of -12/27

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3 years ago

DETERMINE<br> THE<br> DIFFERENCE<br> BETWEEN-2/5 and -0.75

timama [110]

Answer:

0.3

Step-by-step explanation:

Convert -2/5 into a decimal.

-0.4.

Then subtract the two.

-0.4-(-0.75)

-0.4+(+0.75)

0.3

6 0

3 years ago

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

4 years ago

Simplify: 6a - 2(5a - 6)

NISA [10]

Answer:

$-4a + 12$

Step-by-step explanation:

8 0

3 years ago

Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She al

Arte-miy333 [17]

Answer:

s14.98 + 92

Step-by-step explanation:

In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:

s14.98 represents how many shorts Michele bought and how much they cost

8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so

8 * 11.50 = 92

Therefore, by adding the shorts and shirt together, we get the expression:

s14.98 + 92

Hope this helps :)

7 0

3 years ago