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Varvara68 [4.7K]
3 years ago
5

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 <br> x=?<br> What does x have to be for the answer to be 0?
yaroslaw [1]
<em>when we solve the equation it will become
x</em>² + 9x<em>= 0
now here a = 1 , b = 9 and c = 0 
by using quaderatic formula
x = -b +,-</em>√<em>b </em>²<em>- 4ac / 2a     ( 2a is divided by all terms )
by putting values
x = - 9 +,</em><em>- </em>√<em>81 / 2(1)               ( </em>√<em>81 = 9)</em><em>
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..</em>
5 0
3 years ago
Read 2 more answers
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