What is the y value in solution the following system?
4x+3y=7
X+2y=-2
(Worth 10 points)

Answer:

b = 22

Step-by-step explanation:

3b-16=50

3b = 66

b = 22

Answer:

b = 22

Step-by-step explanation:

The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.

After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.

3b/3 = b and 66/3 = 22

After that, you will get b = 22.

You can even check this by plugging 22 as b.

3 x 22 = 66

and 66 - 16 = 50

Answer:

The integral of the volume is:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

The result is: [tex]V = 78.97731[/tex]

Step-by-step explanation:

Given

Curve: [tex]x^2 + 4y^2 = 4[/tex]

About line [tex]x = 2[/tex] --- Missing information

Required

Set up an integral for the volume

[tex]x^2 + 4y^2 = 4[/tex]

Make x^2 the subject

[tex]x^2 = 4 - 4y^2[/tex]

Square both sides

[tex]x = \sqrt{(4 - 4y^2)[/tex]

Factor out 4

[tex]x = \sqrt{4(1 - y^2)[/tex]

Split

[tex]x = \sqrt{4} * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 \sqrt{(1 - y^2)[/tex]

Split

[tex]x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}[/tex]

Rotate about x = 2 implies that:

[tex]r = 2 - x[/tex]

So:

[tex]r_1 = 2 - (-2 \sqrt{(1 - y^2)})[/tex]

[tex]r_1 = 2 +2 \sqrt{(1 - y^2)}[/tex]

[tex]r_2 = 2 - 2 \sqrt{(1 - y^2)}[/tex]

Using washer method along the y-axis i.e. integral from 0 to 1.

We have:

[tex]V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy[/tex]

Substitute values for r1 and r2

[tex]V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy[/tex]

Evaluate the squares

[tex]V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy[/tex]

Remove brackets and collect like terms

[tex]V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy[/tex]

[tex]V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy[/tex]

Rewrite as:

[tex]V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

Using the calculator:

[tex]\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}[/tex]

So:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi * \frac{\pi}{4}[/tex]

[tex]V =\frac{32\pi^2}{4}[/tex]

[tex]V =8\pi^2[/tex]

Take:

[tex]\pi = 3.142[/tex]

[tex]V = 8* 3.142^2[/tex]

[tex]V = 78.97731[/tex] --- approximated

Answer:

a=81.0

there ya go

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

Answer:

3.0 units

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

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

Origin:

The origin is given by point (0,0,0).

Distance of point B to the origin:

Since the origin is all 0, just put the points into the square root.

[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]

9.2 units.

Distance of point A to the origin:

[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]

How much farther from the origin is point B than point A?

9.2 - 6.1 = 3.1 units

So approximately 3 units.

Answer:

a

Step-by-step explanation:

Answer:

48 ksjsnsjsnwwisns sisnwbsisbd

Answer: 2,400 words

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

this the first valuvate but It

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

[tex]\frac{2}{1}[/tex] = [tex]\frac{2+x}{2}[/tex]

cross-multiply:

2+x = 4

x = 2

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

Answer:

32

Step-by-step explanation:

Multiply the base x height

It will be 8 x 4

And if you multiply it, it should equal to 32 so that means...

The volume of the cylinder is 32.

The building will be making 90° with the ground/horizontal.

Then we can apply Pythagoras theorem.

(Base)² + (Height)² = (Hypotenuse)²

=> x² + (12 foot)² = (37 foot)²

=> x² = (37 foot)² - (12 foot)²

We can expand LHS using a² - b² = (a + b)(a - b)

=> x² = (37 + 12 foot)(37 - 12 foot)

=> x² = 49 * 25 foot²

=> x² = (7 * 5)² foot²

=> x = 7 * 5 foot

=> x = 35 foot.

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

Answer: -0.67, 0.22, -0.074

Step-by-step explanation:

This is a geometric sequence because it has a common ratio. The common ratio is divide by -3.

18 / -6 = -3

-6 / 2 = -3

Therefore, we'd continue that ratio.

2 / -3 = -0.67

-0.67 / -3 = 0.22

0.22 / -3 = -0.074

It may ask you to write that in fraction form^^

In that case, 2/-3, then 2/-3 / -3, etc etc. :)

Divide by -3

______________

Hope this helps :)

-Lexi

Answer:

54000

Step-by-step explanation:

53,738

3 is in the thousands place so we look at the hundreds place

7 is 5 or above so we round the 3 up to 4

54000

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = [tex]\frac{9-6}{-4-(-2)}[/tex]

                           m = [tex]\frac{3}{-2}[/tex]

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = [tex]-\frac{3}{2}(x+2)[/tex]

y = [tex]-\frac{3}{2}x-3+6[/tex]

y = [tex]-\frac{3}{2}x+3[/tex]

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

Answer:

James walks 2.2 kilometers it is because 4.1-1.9=2.2

Step-by-step explanation:

and to check u can add 2.2 in 1.9 ko get 4.1 so james walked 2.2 distance kilometers from his house.

Answer:

Step-by-step explanation:

d + (d+1.9) = 4.1

2d = 2.2

d = 1.1 km

Answer:

x = 17

Step-by-step explanation:

They are alternate exterior angles, so they are congruent. This means that:

[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]

The value of x, if the lines  7x - 10 and 9x - 44 are parallel, is 17.

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

Given:

The equations of lines are 7x - 10 and 9x - 44,

As we know, the line parallel has the same slope,

The condition of parallel lines ca be written as,

[tex]L_1 / L_2 = 1[/tex]

Here, L₁ and L₂ are equations of lines,

7x - 10 / 9x - 44 = 1

9x - 44 = 7x - 10

9x - 7x = 44 - 10

x = 34 / 2

x = 17

To know more about the line:

https://brainly.com/question/2696693

#SPJ2

Answer:

-33

Step-by-step explanation:

27-(-3)=30

-3-30=-33

Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

Answer:

1

Step-by-step explanation:

Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).

Step-by-step explanation: