Points are plotted at (-2, 2), (-2, -4), and (2, -4). A fourth point is drawn such that the four points can be connected to form a rectangle. What is the area of this rectangle?

Answers

Answer 1

Answer:

The area of the rectangle is 24.

Step-by-step explanation:

The given points:

a) (-2, 2)

b) (-2, -4)

c) (2, -4)

To complete the rectangle the other point must be (2, 2), so the rectangle formed has the following dimensions:

x: distance in the x-direction (from -2 to 2):

[tex]x = 2 - (-2) = 4[/tex]

y: distance in the y-direction (from -4 to 2):

[tex]y = 2 - (-4) = 6[/tex]

The area of the rectangle is:

[tex] A = x*y = 4*6 = 24 [/tex]

Therefore, the area of the rectangle is 24.

I hope it helps you!      


Related Questions

What is the volume of a cone with a radius 3 cm and a height 6 cm?​

Answers

Answer:

56.55

Step-by-step explanation:

Will help you with something if u help me plsss
Steph Curry went crazy buying houses and carsafter the Warriors won the first round of the playoffs. Now he doesn’t have enough money to make his mortgage payment. Alyssa and Step are good friends, so Alyssa decided to lend Steph $7,500. Alyssa is going to charge Step 8% interest, which will compound monthly. How much will Steph owe Alyssa if he pays her back in 2 years?

Answers

Answer:

21900

Step-by-step explanation:

Find 8% of 7500 (600) and multiply it by 24 (amount of months) then add that to 7500

Which statement explains the type of function that is represented by the equation
y=x2 +9?

Answers

The answer is 28392729

Simplify:
5a+6a^2+2a^0-3a^2-9a

3a^2-4a+2

-a^3+2

-a^2+2

3a^2-4a+1

Answers

Answer:

I believe that the answer is '3a^2-4a+2

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


Help help pretty please

Answers

Answer:

Yes it is

Step-by-step explanation:

It passes the vertical line test.

NO LINKS PLEASE
SOMEONE HELP IM DESPERATE
FIND THE EXACT VALUE OF EACH TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE ​

Answers

Answer: 45

Step-by-step explanation: 360-315=45

Express the following in form, where p and q are integers and q≠ . (0.1282828) find the answer please and thank you

Answers

Answer: [tex]\dfrac{127}{990}[/tex].

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

[tex]990x=127\\x=\dfrac{127}{990}[/tex]

Hence, the required [tex]\dfrac{p}{q}[/tex] form: [tex]\dfrac{127}{990}[/tex].

What is 5x÷6=20
Pls help I can't figure it out

Answers

Answer:

x= 24

Step-by-step explanation:

5x=20*6

x=120/5

x=24

Hope this helps! Plz mark as brainliest! :)

Confused anyone need help

Answers

Answer:

The temperature on the moon at midnight was -250 degrees.

Step-by-step explanation:

235 - 485 = -250


HELP PLEASE!! (No links)

A plane slices horizontally through a cone as shown, which term best describes the cross-section?
es )
A)
circle
B)
rectangle
C)
rhombus
D)
triangle

Answers

answer is D hahehahzbshhdhshzhbzhz

CAN SOMEONE HELP ME PLEASE

Answers

It seems like it is a 1:3 ratio.
y = 12
3(2x + 1) = 4x + 9
6x + 3 = 4x + 9
6x = 4x + 6
2x = 6
x = 3
Since they are similar the proportions of the figure would be equal
3/9 = 2x + 1/ 4x + 9
4x + 9 = 3(2x + 1)
4x + 9 = 6x + 3
2x = 6, x = 3
3/9 = 4/y
y = 12
Solution: x = 3, y = 12

Furaha pushes his rectangle next to Rahma's rectangle to form a new, longer rectangle. Draw an area model to show the new rectangle. Label the side lengths.

Answers

Answer:

See attachment

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the new model

From the question;

Furaha's model is: 6 by 4

Rahma's model is: 7 by 4

When Furaha's rectangle is pushed next to Rahma's, the new model becomes: (6 + 7) by 4

i.e. 13 by 4

See attachment 2

Identify the zero(s) of this function (Desmos)

Answers

Answer:

x=2, -6

Step-by-step explanation:

[tex]3x^{2} +12x-36=0[/tex]

[tex]x^{2} +4x-12=0[/tex]     (Divided by 3)

[tex](x-2)(x+6)=0\\x_{1} =2, x_{2} =-6[/tex]

Layne rode his bike from point a to b by using cherry st . How much further would his trip have been if he took orange drive and peach avenue instead ? Point a 85 point b 77

Answers

Answer:

cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster

Step-by-step explanation:

85 x 85) - (77 - 77) = 1296

square root of 1296 is 36

77 + 36 = 113

113 - 85 = 28

this means that cherry st. is 28 yds faster

using the Pythagorean Theorum

hope i helped

-lvr

Find the area of a trapazoid

Answers

Can you upload a photo.

Answer:

The formula would be

((a+b) / 2)h = area

In this case a is one side of the base (top parralel or bottom line)

And b is the second one (top or bottom)

You can only choose one for each

You add those two up and divide that by 2

Now you multiply it by “h” or height.

Now you have the area

Solve the inequality
x - 4/5 > 1/5

Answers

x - 4/5 > 1/5

  +4/5   +4/5    add 4/5 on each sides, 4/5s will cancel on the left side.

__________   solve for 1/5 + 4/5, which is 1.

x > 1, is the final answer.

hope this helps :)

Answer:

x>1

Step-by-step explanation:

Drag the correct steps into order to solve the equation 5x5 + 5 = 10 for x

Answers

Answer:

x = 1

Step-by-step explanation:

5x^5 + 5 = 10

Start the solution by subtracting 5 from both sides:

5x^5 = 5

Dividing both sides by 5 yields x^5 = 1.

Taking the 5th root of both sides, we get x = 1

The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if 264 pine trees are planted

Answers

Answer:

99 oak trees

Step-by-step explanation:

Given data

Ratio= 8:3

Number of pine tree= 264

Let the number of oak trees be x

Let us apply the part to part method

8/264= 3/x

cross multiply

264*3= 8x

792=8x

x= 792/8

x=99 oak trees

The owner of the tree farm planted 99 oak trees.

An equation is an expression used to show the relationship between two or more numbers or variables.

Given that a farmer plants pine trees and oak trees in a ratio of 8:3. If 264 pine trees are planted, let y represent the total number of trees hence:

264 = (8/11) * y

y = 363 trees

Number of oak trees = (3/11) * 363 = 99 trees

Therefore the owner of the tree farm planted 99 oak trees.

Find out more at: https://brainly.com/question/24169758

Arthur wrote that 15 – 14.7 = 3.

Use the drop-down menus to explain why 3 is incorrect.

Answers

the point is supposed to be in front of the three

.3

Answer:

the answer is 0.3

Step-by-step explanation:

I hoped this helped

The graph of g(x) is a parabola that opens upward with a vertex at (-3, 4). Which statement is true?​

Answers

we need to have statements to see which one is true

A small town is trying to establish a transportation system of large and small vans.
It can spend no more than $100,000 for purchasing both sizes of vehicles and no
more than $500 per month for maintenance. The town can purchase a small van for
$10,000 and maintain it for $100 per month. The large vans cost $20,000 each and
can be maintained for $75 per month. Each large van carries a maximum of 15
passengers and each small van carries a maximum of 7 passengers. Find the
maximum number of passengers the transportation system can handle given the
constraints. How many large and small vans will they need to maximize the
number of
passengers
it can service?

Answers

its a           .......................................Step-by-step explanation:

If Erwin makes $23,440 a year, what does
he make each month?

Answers

Answer: 1,953

Step-by-step explanation:

23,440 divided by 12

Solve for w. Make sure to use scrap paper to show your work. ( 36 ÷ 3 )( 2 x 6 ) = w

Answers

Answer:

your answer is w=144

Step-by-step explanation:

(36÷3=12)(2x6=12)

12x12=144

Answer:  144

Step-by-step explanation:

Here are 36 points to you beautiful people

Answers

Answer:

Thank you so much

Step-by-step explanation:

I NEED HELPPP ASAP pleaseeeeeee

Answers

Answer:

Subtract 23 from both sides

Step-by-step explanation:

This is how algebra works, to get a variable by itself you have to do the opposite to both sides. Hope this helped.

Answer:

It's D: subtract 23 from both sides of the equation because inverse operations  

Step-by-step explanation:

Which is missing from step 4?

Add the data for each interval.

Put a point on each line of the y-axis that has data.

Put the data in order in the table.

Create the bars.

Answers

Answer:

The answer u put in the thing is correct!

Step-by-step explanation:

What value for the variable makes this equation true?
`-2= 3+ b/4

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

−2 = 3 + b / 4

Step 1: Simplify both sides of the equation.

−2 = 3 + b / 4

−2 = 3 + 1 / 4b

−2 = 1 / 4b + 3

Step 2: Flip the equation.

1 / 4b + 3 = −2

Step 3: Subtract 3 from both sides.

1 / 4b + 3 − 3 = −2 − 3

1 / 4b = −5

Step 4: Multiply both sides by 4.

4 * ( 1 / 4b ) = ( 4 ) * ( −5 )

b = −20

Answer:

b = −20

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

A sofa is 7 feet 5 inches long. How many inches is the sofa?

Answers

89 inches!

Because each foot is 12 inches and 12*7=84 and 84+5=89!

May someone help me please. Solve for x and then find the indicated length. Pleaseee

Answers

Answer:

16

Step-by-step explanation:

3x + 4 = x + 12  [The straight line on the segments AB and BC indicate that they are the same length]

2x = 8  [Subtract x and 8 from both sides]

x = 4  [Divide both sides by two]

Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16

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