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aliya0001 [1]
3 years ago
12

Please help me with #10 and #11, will mark brainliest.

Mathematics
1 answer:
wel3 years ago
5 0

Answer:  Answers in the pictures

Hope this helps! :)

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Simplify the following: (r+s-t)-(r-s+t)
ArbitrLikvidat [17]
R+s-t-(r-s+t)

=2s-t is the answer



People think this answer would be just =2s but I have verified with an online calculator and the answer that textbooks look for regarding this is 2s-t

You would assume you would go r-r and thats 0 so no r's

you would say s-(-s) makes it plus and theres 2s

and you would say -t -(+t) is -t 

that's why the answer is 2s-t

At first I also did t-(+t) and thought it would be no t's but the answer is in fact 2s-t 
4 0
3 years ago
HELP PLS!!!!! One link in a chain was made from a cylinder that has a radius of 3 cm and a height of 25 cm. How much plastic coa
garri49 [273]

Answer:

471 cm^2

Step-by-step explanation:

to find the literal surface area use formula= A^L=2πrh

2(3.14)(3)(25)=

471cm^2

7 0
3 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
What is the answer to X(x+7)
LekaFEV [45]

Answer:

\boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2}  + 7x}}}}}

Step-by-step explanation:

\sf{x(x + 7)}

Distribute x through the parentheses

\dashrightarrow{ \sf{x \times x + x \times 7}}

\dashrightarrow{ \boxed{ \sf{ {x}^{2}  + 7x}}}

Hope I helped!

Best regards! :D

3 0
2 years ago
Write the equation in slope-intercept form for the line that passes through the points (-6, -4) and (-3, 1).
ozzi

Answer:

y = 5/3x+6

Step-by-step explanation:

4 0
3 years ago
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