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pogonyaev
3 years ago
15

Can you please solve this

Mathematics
1 answer:
RideAnS [48]3 years ago
7 0

Answer:

D

Step-by-step explanation:

9pi is 28.27 which is greater than 27.

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Help me plz I’ll give brainlist plz!!!!!!!!!!!
marishachu [46]

Answer:

answer is 10/3 thats the answer

5 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
Which of these equations have no solution? Check all that apply.
dlinn [17]
First one simplifies to 2x + 6 = 2x + 7  which can't be true   so this one has No Solution.
Same applies to the second equation  ( 5x + 15 = 5x - 15) No solution

also the last one has no solution because it simplifies to  4x + 20 = 4x + 19
6 0
3 years ago
What is y=2x+4 and y=-7x+-3
kozerog [31]

Answer:

They are a system of equations?

Step-by-step explanation:

Not sure if this is what you are asking

6 0
3 years ago
Read 2 more answers
(2y^3+5y^2-y+15) ÷ (y-4)
Sveta_85 [38]
ANSWER: 2y^2 + 13y +51 r(219/y-4)

picture explanation too:

8 0
3 years ago
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