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3 years ago

9

Simplify the expression 8x^-4 y^-8/-2xy^5 (Note ^ equals to the power of)

1 answer:

krek1111 [17]3 years ago

7 0

-4/x^5y^13 because since you have negative exponents on the top you switch them to the bottom

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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

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3 years ago

What's the distributive property for 68 divided by 4

Soloha48 [4]

This is a plain and simple answer. No distributive property here!

68 ÷ 4 = 17

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3 years ago

What 12+9 <br> A 99 <br> B 4<br> C 0

chubhunter [2.5K]

Answer:

d 21xysxhducux6cyvivivi

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3 years ago

Find the distance between the two points (-2,-6) and (0,5).

HACTEHA [7]

Answer: OPTION B

Step-by-step explanation:

You can find the distance between two points by using the following formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the points (-2,-6) and (0,5), you can identify that:

$x_2=-2\\x_1=0\\\\y_2=-6\\y_1=5$

Therefore, substituting values, you get that the distance between those points is:

$d=\sqrt{(-2-0)^2+(-6-5)^2}\\\\d=5\sqrt{5}$

7 0

3 years ago

Read 2 more answers

Gordon types 3,024 words in 42 minutes. Find the unit rate.

emmasim [6.3K]

Answer:

72 words per minute

Step-by-step explanation:

$\frac{1}{y}= \frac{42}{3024}$

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

8 0

3 years ago