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3 years ago

Find the coordinates and graph image after a dialation with a scale factor of 3

Mathematics

1 answer:

NISA [10]3 years ago

5 0

What ever your coordinates are add them by 3

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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{

photoshop1234 [79]

Substitute $u=x^2+4$ and $du=2x\,dx$ . Then the integral transforms to

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}$

Apply the power rule.

$\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C$

Now put the result back in terms of $x$ .

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}$

3 0

2 years ago

. CAR WASH Shea and Tucker are washing their father's car. Shea can wash it by herself in 20 minutes. Tucker can wash it by hims

IrinaK [193]

Answer:

12 minutes

Step-by-step explanation:

First we figure out how much of a car each person can wash in 1 minute.

Shea can wash the car by herself in 20 minutes

Therefore, she can wash a car in 1 minute = $\frac{1}{20}$

Tucker can wash a car in 30 minutes.

Tucker can wash the car in 1 minute = $\frac{1}{30}$

Thus, in one minute together they wash a car

$\frac{1}{20}$ + $\frac{1}{30}$ = $\frac{50}{600}$ = $\frac{1}{12}$

In one minute together they can wash = $\frac{1}{12}$ of a car

Time needed to wash entire car together = 12 minutes.

It takes them 12 minutes to wash the car.

7 0

3 years ago

If f(x)=8x which is the following is the inverse of f(x)

worty [1.4K]

Answer:my=8x

To find the inverse, flip the x and y variables and then solve for y.

x=8y

x/8=8y/8

x/8=y

Final answer: f^-1(x)=x/8

5 0

3 years ago

Solve x for the diagram below.

Gnoma [55]

Answer:

20°

Step-by-step explanation:

These angles add up to 90° so we have:

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20°

7 0

3 years ago

Read 2 more answers

X(x+9)=0 x=? What does x have to be for the answer to be 0?

yaroslaw [1]

when we solve the equation it will become
x² + 9x= 0
now here a = 1 , b = 9 and c = 0
by using quaderatic formula
x = -b +,-√b ²- 4ac / 2a ( 2a is divided by all terms )
by putting values
x = - 9 +,- √81 / 2(1) ( √81 = 9)
x = -9 + 9 / 2 and x = -9 -9 /2
x = 0 and x = -18 /2 = -9
now there are two values for x one is- 9 and other is 0
so we put -9 as the value of x then answer will be zero..

5 0

3 years ago

Read 2 more answers