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Blababa [14]
3 years ago
5

B) 6x(x - 2y) + 5y(x – 2y)​

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

answer:

6x(x - 2y) + 5y(x – 2y)​

= 6x^2 - 12xy + 5xy - 10y^2

= 6x^2 - 7xy - 10y^2

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Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.
Maru [420]

Answer:

9\text{ln}|x|+2\sqrt{x}+x+C

Step-by-step explanation:

We have been an integral \int \frac{9+\sqrt{x}+x}{x}dx. We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx

\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx

Now, we will apply the sum rule of integrals as:

\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx

9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx

Using common integral \int \frac{1}{x}dx=\text{ln}|x|, we will get:

9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx

Now, we will use power rule of integrals as:

9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx

9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2\sqrt{x}+\int 1dx

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

9\text{ln}|x|+2\sqrt{x}+x+C

Therefore, our required integral would be 9\text{ln}|x|+2\sqrt{x}+x+C.

4 0
3 years ago
A wheel is shaped like a circle with a diameter of 35 cm. To the nearest
zhenek [66]

Answer:

C = 110 cm

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 3.14 * d

C = 3.14 * 35

C =109.9

Rounding

C = 110 cm

3 0
4 years ago
__•__=42<br> __+__=23<br><br><br> Can someone help me solve this?
RoseWind [281]

Answer:

21 * 2 = 42

21 + 2 = 23

Step-by-step explanation:

well I know that 6 * 7 = 42 so I’m assuming that’s correct

Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.

The first one should be correct.

Maybe try

21 * 2 = 42

21 + 2 = 23

3 0
2 years ago
Plz help! I’m super confused! Thank you!
GREYUIT [131]

Answer:

Step-by-step explanation:

7 0
3 years ago
In their first 7 months of business, the account books of a merchandising company showed revenues of -$3,299. What was the compa
melisa1 [442]

Answer:

A.

Step-by-step explanation:

-$400

6 0
3 years ago
Read 2 more answers
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