4+4+4+5+5+5+5+5+5+5+5+5+5+5=

I suppose you mean the integral

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx[/tex]

Break up the integrand into partial fractions:

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} = \dfrac{a}{x+1} + \dfrac{b}{(x+1)^2} + \dfrac{c}{x+2} + \dfrac{d}{(x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{a(x+1)(x+2)^2 + b(x+2)^2 + c(x+1)^2(x+2) + d(x+1)^2}{(x+1)^2 (x+2)^2}[/tex]

[tex]\dfrac{x}{(x+1)^2 (x+2)^2} \\ = \dfrac{(a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d}{(x+1)^2(x+2)^2}[/tex]

[tex]x = (a+c)x^3+(5a+b+4c+d)x^2+(8a+4b+5c+2d)x + 4a+4b+2c+d[/tex]

Solve for the coefficients:

[tex]\begin{cases}a+c=0 \\ 5a+b+4c+d=0 \\ 8a+4b+5c+2d=1 \\ 4a+4b+2c+d=0\end{cases} \implies a=3,b=-1,c=-3,d=-2[/tex]

So we have

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \int \left(\frac3{x+1} - \frac1{(x+1)^2} - \frac3{x+2} - \frac2{(x+2)^2}\right) \, dx[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= 3\ln|x+1| + \frac1{x+1} - 3\ln|x+2| + \frac2{x+2} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \ln|x+1|^3 - \ln|x+2|^3 + \frac{3x+4}{(x+1)(x+2)} + C[/tex]

[tex]\displaystyle \int \frac{x}{(x+1)^2 (x+2)^2} \, dx= \boxed{\ln\left|\frac{x+1}{x+2}\right|^3 + \frac{3x+4}{(x+1)(x+2)} + C}[/tex]

Answer:

9.48683

Step-by-step explanation:

using the formula:

Find the difference between coordinates:

(x2-x1) = (6 - -3) = 9

(y2-y1) = (1 - 4) = -3

Square the results and sum them up:

(9)2 + (-3)2 = 81 + 9 = 90

Now Find the square root and that's your result:

Exact solution: √90 = 3√10

Approximate solution: 9.4868

Answer:

H=100

Step-by-step explanation:

To solve H simply simplify both sides of the equation then isolate the variables.

Answer:

h=100

Step-by-step explanation:

h/5 -28=-8

put like terms together( unknowns on one side, knowns on the other)

h/5= -8+28  

h/5= 20

Multiplying both sides by 5 to get rid of the denominator

5(h/5) =5(20)

h=100

Answer:

d

Step-by-step explanation:

The dashes on the sides of the triangles mean that they are equal in length.

Isosceles triangle: 2 sides of equal length

Equilateral triangle: 3 sides of equal length

Triangle a doesn't have any dashes, so all the sides are different length.

Triangle b has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle c has 2 sides that each have the same number of dashes, so these sides are equal in length → Isosceles triangle

Triangle d has 3 sides that each have the same number of dashes, so these sides are equal in length → Equilateral triangle

Answer:

it’s A

Step-by-step explanation:

ur welcome

Answer:

3

Step-by-step explanation:

you have 1/3, to find out how many ninths you have, you must multiply the denominator by three (because 3*3=9). whatever you multiply on the bottom you must multiply on the top (if you don't do that then it's not the same as 1/3 anymore)

therefore 1/3 == (1*3)/(3*3) == 3/9

if you want to know how many twelves it was then you multiply by 4 to get 12 on the bottom:

1/3 == (1*4)/(3*4) == 4/12

therefore 1/3 == 3/9 == 4/12. they are all the same fraction

Step-by-step explanation:

variability = larger range

can you put your answer below

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

Find out more information about vertically opposite angles:

https://brainly.com/question/18045519

#SPJ2

Answer:

2 hours

Step-by-step explanation:

12:30 + 1 hour = 1:30

1:30 + 1 hour = 2:30

She was at the dog park with her dog for 2 hours.

Answer:

The answer is 342 in.^{2}.

Answer:

The length is 5cm.

Step-by-step explanation:

(x)(x+7) = 60

x^2 +7x = 60

x^2 +7x - 60 = 0

x^2 + 12x - 5x = 0

Answer:

[tex]lenght = 12cm \\ width = 5cm[/tex]

Step-by-step explanation:

[tex]area \: = lenght \times width \\ area = 60cm { }^{2} \\ let \: width = xcm \\ let \: lenght = (x + 7)cm \\ 60 = \: (x)(x + 7) \\ 60 = x ^{2} + 7x \\ x {}^{2} + 7x = 60 \\ x {}^{2} + 12x - 5x - 60 = 0\\ x(x + 12) - 5(x + 12) \\ (x + 5)(x + 12) \\ x = 5 \: or \: x =- 12 \\ since \: width \: cant \: be \: negative \\ width = 5cm \\ lenht = 5 + 7 = 12cm[/tex]

Answer:B

Step-by-step explanation:

I think it should be B u= -1

Answer:

The answer for this question is 6,304

Using it's concept, it is found that the range for this situation is given by:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

The range of a function is the set that contains all possible output values.

In this problem, the output values are the height of the ball, which researching the problem on the internet, is represented by a table in which the minimum height is of 0(when it hits the ground) and the maximum height is of 7.66 feet, hence the correct option is:

C. All real numbers greater than or equal to 0 and less than or equal to 7.66.

More can be learned about the range of a function at https://brainly.com/question/24374080

Answer:

-2 x 2 - 4x + 3

If x = -2, then . . .

-2 x 2 -(-4 x -2) + 3

-2 x 2 + 8 + 3

The answer is 7

I know this because of

( )

Exponents

x or /

+ or -

-2x2-4(2)+3 = 7 because x=3 so,

-2x2-8+3

7

Answer:

1/18

Step-by-step explanation:

Each cube can have 6 outcomes, from 1 to 6.

6 × 6 = 36

The total number of outcomes is 36.

The desired outcomes are only 1, 4 and 4, 1.

There are only 2 desired outcomes.

p(1, 4 or 4, 1) = 2/36 = 1/18

Answer: 1/18

Answer:

30.48

Step-by-step explanation:

...

Answer:

30.48

Step-by-step explanation:

2.4x12.7=30.48

Answer:

25/13 miles in an hour

Step-by-step explanation:

So she walks 1/13 mile per 1/25 hour.

To find the miles in an hour, just multiply the 1/25 hour by 25/

1/25 hour * 25 = 1 hour.

1/13 mile * 25 = 25/13 miles in an hour

x= 105°

y= 75°

z= 105°

Answer:

AD=25cm

Step-by-step explanation:

BC//AD

XY is also parallel to BC and AD as it bisects BA and CD.

BX=XA, CY=CD

so tge decreasing in length BC to XY is the same with XY to AD

29-27=2

27-2=25

That is why AD= 25cm

Answer:

your answer is right

Step-by-step explanation:

I took the test

The sum of all the angles in a triangle is 180 degrees, so we get the equation:

  [tex]55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3[/tex]

The value of x is -3.

Hope that helps!

Answer:

(x+74)+55+54=180

x= -3

Answer:

5 buses

Step-by-step explanation:

each bus will take 200 people except for and the fifth bus will take 50

Answer:

170

Step-by-step explanation:

[tex]5!+50\\\\(5*4*3*2*1)+50\\\\120+50\\\\170[/tex]

Question

5! + 50

Step-by-step explanation:

about factorial

5!

=5 × 4 × 3 × 2 × 1

=20 × 3 × 2 × 1

=60 × 2 × 1

=120 × 1

=120

the result of the factorial 5! is 120

now we just add 120+50

120 + 50

120

50

———+

170

so the result of 5! + 50 is 170

I hope this helps

Its figure A cause see how it says small squares thats the one

thanks

your gurl unique

Answer:

A.g=11

Step-by-step explanation:

26=7(g-9)+12

26=7g-63+12

7g=77

g=11