Triangle ABC has vertex coordinates A(–5, 2), B(–1, 3), and C(–1, 1). It is rotated 90° clockwise around the origin. What are the coordinates of B'?

Answer:

  28 m

Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

  c = √784 = 28

The longer side is 28 meters.

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

Since it is a negative degree it’s a counter clockwise meaning the fourth picture or D with the vertexs being p’(-2,-1),q’(1,-1),r’(1,-3)

Step-by-step explanation:

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Answer:

x=44

Step-by-step explanation:

If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:

3(x-8)=2(x+10)

3x-24=2x+20

x=44

Hope this is helpful! :)

Answer:

x=36.8

Step-by-step explanation:

We know that the two angles given are supplementary so we can do:

3(x-8)+2(x+10)=180

Then we simplify.

3x-24+2x+20=180

Simplify

5x-4=180

Combine like terms

5x-4=180

    +4  +4

5x=184

Divide to make it x alone.

5x=184

/5      /5

x    =    36.8

I hope this helped

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y  = 2 [tex]*[/tex] x³ [tex]*[/tex] y,

18xy = 2 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] x [tex]*[/tex] y,

− 10x²y = 2 [tex]*[/tex] - 5 [tex]*[/tex] x² [tex]*[/tex] y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 [tex]*[/tex] - 5 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

[tex]2y\left(x^3+9x-5x^2-45\right)[/tex] - Factor out " [tex](x^3+9x-5x^2-45\right))[/tex] " by grouping,

[tex]\left(x^3-5x^2\right)+\left(9x-45\right)[/tex] - Factor 9 from 9x - 45 and x² from x³ - 5x²,

[tex]9\left(x-5\right)+x^2\left(x-5\right)[/tex] - Factor out common term x - 5,

[tex]\left(x-5\right)\left(x^2+9\right)[/tex] - And our solution is thus 2y( x - 5 )( x² + 9 )

Answer:

9

Step-by-step explanation:

7x=5x+14+4

7x=5x+18

2x=18

x=9

Answer:

a.) Expand the figure and stretch it to the form of a known figure.

Step-by-step explanation:

"Option a" is the correct one for finding the area of unknown figure we  don't expand and stretch the figure to form a known figure.

To find the area of unknown shapes, first , we need to divide the unknown shapes into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth.

Then find the area of these individual shapes and add them to get an area of unknown shapes.

According to the given question

We have to find the step which is not required for finding the area of unknown figures

"For finding the areas of unknown figure we don't need to stretch it to form a known figure" because if we  expand and stretch the figure it's dimensions will get change so that the area will also gets change.

Hence," option a" is not a step in finding the area of unknown figure.

Learn more about the area of unknown figure here:

https://brainly.in/question/43346864

#SPJ2

Answer:  c) 16.75 in²

Step-by-step explanation:

Area of a sector = π·r² (θ/360°)Given: diameter = 16 --> r = 8,  θ = 30°

[tex]A=\pi (8)^2\bigg(\dfrac{30^o}{360^o}\bigg)\\\\.\quad =\dfrac{64\pi}{12}\\\\.\quad =\dfrac{16\pi}{3}\\\\.\quad = 16.755[/tex]

Answer:

easy, heres a hand y≈12⋅1.85x :)

P.s. have a good day :)

Answer:

see below

Step-by-step explanation:

f(x)=3(1.85)^x  +3

Let x = - ∞

f(x)=3(1.85)^-∞  +3

    = 3* 0 +3

    = 3

The graph goes to 3

The graph has a horizontal asymptote of y=3

Let x =  ∞

f(x)=3(1.85)^∞  +3

    = 3* ∞ +3

    = ∞

The graph goes to ∞

Answer:

21

Step-by-step explanation:

his mean is already 21

but if he has to score then 21

Answer:

[tex]\boxed{D. 9x + 36}[/tex]

Step-by-step explanation:

Hey there!

Given info

9(x + 4)

Solve!

9*x = 9x

9*4 = 36

Answer

9x + 36

D. 9x + 36

Hope this helps :)

Answer:

[tex] \boxed{9x + 36}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{9(x + 4)}[/tex]

Distribute 9 through the parentheses

[tex] \mathrm{ = 9 x + 9 \times 4}[/tex]

Multiply the numbers

[tex] \mathrm{ = 9x + 36}[/tex]

Hope I helped!

Best regards!

Answer:

(-2, -4)

Step-by-step explanation:

3(-2) - -4 = -2, so it doesn't work.

both equations are the same line

Answer:

Banks require home insurance all the way until the house is payed off. This also goes as far as things like taxing, government funding, and collecting money.

Sine is negative in quadrants 3 and 4, when y < 0.

Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)

The common quadrant mentioned is quadrant 4.

Quadrant 4 has angles that are between 270 degrees and 360 degrees

So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]

Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest

Answer:

  Decrease the quantity of the input

Step-by-step explanation:

The general assumption is that productivity is a curve that is concave downward, Hence marginal product is decreasing until it reaches zero. The way to increase it is to reduce the input quantity to a value below the point where the curve reaches zero marginal product.

Answer:

e) Nothing, as more workers decreases total product.

Step-by-step explanation:

I got it right on the test.

Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

[tex]Equation\ 1: x - 3y = 1[/tex]

[tex]Equation\ 2: 7x + 2y = 7[/tex]

Required

Efficient way of solving the equations

The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;

The evidence is shown as follows;

Make x the subject of formula in equation 1

[tex]x = 1 + 3y[/tex]

Substitute 1 + 3y for x in equation 2

[tex]7x + 2y = 7[/tex]

[tex]7(1 + 3y) + 2y = 7[/tex]

Open bracket

[tex]7 + 21y + 2y = 7[/tex]

[tex]7 + 23y =7[/tex]

Make y the subject of formula

[tex]23y = 7 - 7[/tex]

[tex]23y = 0[/tex]

Divide both sides by 23

[tex]\frac{23y}{23} = \frac{0}{23}[/tex]

[tex]y = 0[/tex]

Recall that x = 1 + 3y

Substitute 0 for y in the above expression

[tex]x = 1 + 3(0)[/tex]

[tex]x = 1 + 0[/tex]

[tex]x = 1[/tex]

Solving for y in the second equation will take more steps

Answer:

A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Answer:

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

Step-by-step explanation:

Answer:

question 1: 5/9 question 2: 9/5

Step-by-step explanation:

10/18 can be simplified to 5/9

18/10 can be simplified to 9/5

Answer: $20 <= X < = $21

Step-by-step explanation:

According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Answer:

[tex]\frac{360}{n}[/tex]

Step-by-step explanation:

Given:

The above statements

Required

Complete the above statements

Considering the third statement in the question;

First, it should be noted that a circle is a full sector that measures 360 degrees

Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;

[tex]\frac{360}{180} = 2\ sectors[/tex]

Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;

[tex]\frac{360}{90} = 4\ sectors[/tex]

Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;

[tex]\frac{360}{n}[/tex]

Hence, from the list of given options; [tex]\frac{360}{n}[/tex] fills the gap correctly

Answer:

360/n

Step-by-step explanation:

Answer:

x = 0.36

Step-by-step explanation:

6x^2 +5x - 4 = 0

6x+5x-4 = 0÷2

11x = 0+4

x = 4÷11

Therefore, x = 0.36

Answer:

21

Step-by-step explanation:

Chickens - 2x

cows - 4x

goats = 4x

2x+4x+4x+210

10x=210

x=21

CHECK:

21 chickens = 42 legs

21 cows = 84 legs

21 goats = 84 legs

42+84+84=210 legs

Answer:

1.20 for each bag of sunflower seeds

Step-by-step explanation:

Answer:  $1.20 per bag

Step-by-step explanation:

[tex]\dfrac{\$7.20}{6\ bags}\div \dfrac{6}{6}\quad = \quad \dfrac{\$1.20}{1\ bag}[/tex]

Answer:

A

Step-by-step explanation:

The correct answer is A.

"3 less than" represents -3

"half of x" represents x/2

"is 15" represents =15

Answer:f

Step-by-step explanation:

Answer: 31 degrees

Step-by-step explanation:

Answer

The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.