Write an expression for the area of the triangle below.
Simplify your expression as much as possible.
(2x - 4)
(3x + 5)

Answer:

-10 :)

Hey champ! Here's the 'splination!

equation: 50-5x=100

50=-5x. (subtract 50 from both sides)

-10=x (divide both sides by -5)

Answer:

82.20

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

To write the form of the partial fraction decomposition of the rational expression:

We have:

[tex]\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}[/tex]

2.

Using partial fraction decomposition to find the definite integral of:

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx[/tex]

By using the long division method; we have:

[tex]x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }[/tex]

                  [tex]- 2x^3 -16x^2-40x[/tex]

                                            [tex]x+ 20[/tex]

So;

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}[/tex]

By using partial fraction decomposition:

[tex]\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}[/tex]

                         [tex]= \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}[/tex]

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now;  we have to relate like terms on both sides; we have:

A + B = 1   ;   2A - 10 B = 20

By solvong the expressions above; we have:

[tex]A = \dfrac{5}{2}[/tex]     [tex]B = \dfrac{3}{2}[/tex]

Now;

[tex]\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}[/tex]

Thus;

[tex]\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}[/tex]

Now; the integral is:

[tex]\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx[/tex]

[tex]\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}[/tex]

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

Answer:

39.75

Step-by-step explanation:

First, subtract 50 from both sides

200z + 50 - 50 = 8000 - 50

200z = 7950

Then isolate the variable by dividing both sides by 200

200z/200 = 7950/200

z=39.75

Answer:

0.25km

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

4(6 – x) + 4 = 2 (3x + 1) – 6

24 - 4x + 4 = 6x + 2 - 6

28 - 4x = 6x -4

-4x - 6x = - 4 - 28

-10x = - 32

divide both sides

x = 16/5 or x = 3.2

hope this helps :)

Answer:

247.4

Step-by-step explanation:

- you can either use pi*diameter or 2pi*radius

- [tex]\pi (78.75) = 247.4[/tex]

Work Shown:

Let x be the third angle

For any triangle, the three angles always add to 180 degrees

x+55+28 = 180

x+83 = 180

x = 180-83

x = 97

Answer:

4.474 it is simple you just add them

Answer:

6.474

Step-by-step explanation:

i calculated it

Answer:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Step-by-step explanation:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Answer:

6

Step-by-step explanation:

The way you wrote it, it is already rounded.....

The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".

pi--rounded off in decreasing precision:

3.14159

3.1416

3.142

3.14

3.1

3

Watch out for a trap in rounding:

Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.

Answer:

261.48

Step-by-step explanation:

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P (1, 1) = (x_1, y_1) [/tex]

[tex] R(-3, 5) = (x_2, y_2) [/tex]

Plug in the values into the formula.

[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]

[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]

[tex] PR = \sqrt{16 + 16} [/tex]

[tex] PR = \sqrt{32} [/tex]

[tex] PR = 5.7 units [/tex] (to nearest tenth)

Answer:

You win if you spin any number except 3, otherwise your friend wins

Step-by-step explanation:

Because the spinner is divided into equal sections, there is an equal probability of spinning any number. In this case, you win by spinning a 1, 2, or 4, and your friend only wins by spinning a 3. The probability of you winning is 34, while the probability of your friend winning is only 14.

It's 61/21. That's the answer.

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

Answer:

the first one i did it yesterday

Answer:3/4

Step-by-step explanation:

First get the common denominator that is 12 then divide 12 by the first denominator which is 2 then add the numerator which is 1 then you will get 7 then repeat to second denominator just divide 12 by 12 then add 1 then add the numerator and copy the denominator. To simplify your answer just divide both by 3 and you will get the final answer of 3/4.

The correct format of the options are

(1) 6/8                    (6) 2/7

(2) 7/2                    (7) 1/8  

(3) 33[tex]\frac{4}{5}[/tex]                    (8) 4/5

(4) 41                      (9) 5/6

(5) 54[tex]\frac{1}{5}[/tex]                    (10) 1/5

Answer:

Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1

Reciprocal of the following are as follows

(1) [tex]\frac{8}{6}[/tex]  

(2) [tex]\frac{2}{7}[/tex]

(3) 33[tex]\frac{4}{5}[/tex]  =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 =>  reciprocal = 5/169

(4) 1/41

(5)  54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271

(6) 7/2

(7) 8

(8) 5/4

(9) 6/5

(10) 5

Answer:

=2.64

Step-by-step explanation:

Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

12.6

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

12.6

Step-by-step explanation:

0.12*105=12.6

Answer:

1,3

Step-by-step explanation:

Answer:

n/4 + 1 =5

n/4 = 5-1

n/4 = 4

n = 4*4

n = 16

Answer:

So do this,

Step-by-step explanation:

stand up and go ask your mom!

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4