What is the perimeter of the rectangle whose vertices are at (6, 3), (−6, 3), (−6, −1), and (6, −1)?

Answers

Answer 1

Given:

The vertices of a rectangle are (6, 3), (−6, 3), (−6, −1), and (6, −1).

To find:

The perimeter of the rectangle.

Solution:

Distance formula:

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

Let the vertices of a rectangle are A(6, 3), B(−6, 3), C(−6, −1), and D(6, −1).

Using the distance formula, we get

[tex]AB=\sqrt{(-6-6)^2-(3-3)^2}[/tex]

[tex]AB=\sqrt{(-12)^2-(0)^2}[/tex]

[tex]AB=\sqrt{144}[/tex]

[tex]AB=12[/tex]

Similarly,

[tex]BC=\sqrt{\left(-6-\left(-6\right)\right)^2+\left(-1-3\right)^2}=4[/tex]

[tex]CD=\sqrt{\left(6-\left(-6\right)\right)^2+\left(-1-\left(-1\right)\right)^2}=12[/tex]

[tex]AD\sqrt{\left(6-6\right)^2+\left(-1-3\right)^2}=4[/tex]

Now, the perimeter of the rectangle is:

[tex]Perimeter=AB+BC+CD+AD[/tex]

[tex]Perimeter=12+4+12+4[/tex]

[tex]Perimeter=32[/tex]

Therefore, the perimeter of the rectangle is 32 units.


Related Questions

Can someone help me please

Answers

Answer:

A = 2x² + x - 45

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth , thus

A = (2x - 9)(x + 5) ← expand using FOIL

   = 2x² + 10x - 9x - 45 ← collect like terms

    = 2x² + x - 45

please i really need help. dont spam i just really need help

Answers

Answer:

440 square miles would be the answer :)

Step-by-step explanation:

What are the solution(s) to the quadratic equation 50 - x2 = 0?
O x = +215
O X = 26/3
O x = 15/2
O no real solution

Answers

Answer is... X=25



........

What's the word called for when people don't believe in ghosts or any type of things , there was a specific word !

Answers

Answer:

Maybe a skeptic?

Step-by-step explanation:

skep·tic:

1. a person inclined to question or doubt accepted opinions.

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Answers

where yo mamas attttt , 5-(4)= 23

out of 8 marbles, 3 were green. if 37.5% of them were green, what percentage of the marbles were not green

Answers

100-37.5 = 72.5% of the marbles were not green

Answer:

62.5%

Step-by-step explanation:

100% - 37.5% = 62.5%

Are both of theses sets of orderd pairs a function? {(4,2) (3,15) (2,18) (1,21)} {(-6,8) (-3,4) (3,0) (6,-4)

Answers

Answer:

yes!

Step-by-step explanation:

can someone help me with this one 2x2-18=0

Answers

Answer:

-14

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x-18=0

2x=18 /:2

x=9

Subtract:
60.3 - 4.92 = 0

Answers

Answer:

60.3−4.92=0

Subtract 4.92 from 60.3 to get 55.38.

55.38 = 0

Compare 55.38 or 0.

Answer:55.38=0

Step-by-step explanation:

Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is
$12/h. Indigo Research was billed $876.00 last month fc
hours charged for usage during peak times.
40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak time

Answers

Don’t look up that link they put the same thing on another question

I dont remember how to solve these

Answers

The answer is X = 8........
6*4= 24
24/3=8
The answer is 8

40 points. Factor the following polynomial.

49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor

Answers

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

answer correctly for brainlesit pls asap rlly need help!

Answers

Answer:

C

Step-by-step explanation:

This is the only option where every x-value only goes to one y-value, which is what has to happen in order for it to be a function.

it’s C yw!!


random word cause it has to be 20 words

I’ll give brainliest for whoever is correct

Answers

Answer:

Step-by-step explanation:

1.)12.

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Thus, the answer to 4 divided by 1/3 in fraction form is:

[tex]\frac{12}{1}[/tex]

To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

12

The answer is rounded to the nearest two decimal points if necessary.

[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.

2.) 9

I’ll mark brainliest pleaseeee

Answers

Answer:

it is c 1440

Step-by-step explanation:

you multiply 8 times 10 get 80

then multiply 80 and 18 get  1440

AREA = 1440

Answer:

mark her as brainliest

Step-by-step explanation:

please thx

which equation can be used to solve x in the diagram??

a) 13x - 5x = 180

b) 5x + 13x = 90

c) 5x + 13x = 180

d) 5x = 13x

no links pls!!

Answers

Step-by-step explanation:

C) 5x + 13x = 180°

Because, the angles in the diagram add up to 180° because it's a straight angle

So, the sum of both of them will give 180

So option (C) is right

Please help I will mark Brainly if u give me answer quickly

Answers

Answer:

x=29

Step-by-step explanation:

2x+1+33=90

56=2x

x=29

Write 3.1415×106 in standard notation

Answers

Answer:

332.999

Step-by-step explanation:

juice wrld

Grade For This Paper
U
Submit Answer
49/
Grade For This Exam Series
U
4
6.
4
Here are the first 4 terms of a sequence.
3 11 19 27
a) (i) Write down the next term in the sequence.
(1)
(ii) Explain how you got your answer.
(1)
b) Work out the 10th term of the sequence.
(1)
Total marks: 3
G
L
S
SIN
А о
8:29​

Answers

Answer:

that is b

Step-by-step explanation:

In how many ways can a group of 9 persons arrange themselves around a circular table?​

Answers

Answer:

20,160 ways

Step-by-step explanation:

9x8x7x6x5x4x3x2x1=9

Find the value of x.
log8x=3

A. 512
B. 24
C.6561
D.1/512

Answers

A. 512 is the answer.

I need this in 5 min plsss

Answers

Answer:

x=8

Step-by-step explanation:

Use the equal angle theorem so 3x+18=39. This equals 8 which is our answer.

By the way, can you follow me on Brainly?

Thanks!

It’s going to be 8 good luck

The Halloways are taking a trip to Maine. Mr. Halloway knows that it is about 885 miles to their destination in Maine from their home in Ohio. He knows the average speed along his route will be 65 miles per hour. How many hours is the drive?

Answers

Answer:

Number of hours= 13.61 hours

Step-by-step explanation:

Giving the following information:

Mr. Halloway knows that it is about 885 miles to their destination.

Average speed= 65 miles per hour

To calculate the number of hours to be drive, we need to use the following formula:

Number of hours= total miles / miles per hour

Number of hours= 885/65

Number of hours= 13.61 hours

Jose purchased 105 slices of pizza to sell at his school's fundraiser, yet at the end of the day, he had only sold 58. What is his percent of error?

Answers

Answer:

209 yan ang sagot brainliest po

WILL GIVE BRAINLIEST ANSWER!!!!

1. Find the area of the sector.

2. What is the base of the triangle?

3. What is the height of the triangle?

4. Find the area of the triangle.

5. Find the area of the shaded segment.

Answers

Answer:

second account

Step-by-step explanation:

hcjdlajshdksksjs

SIMPLE QUESTION!!! ILL MARK BRAINLIEST

Answers

Answer:

-2asmall2 + 4a - 8

Step-by-step explanation:

The side length of an equilateral triangle is 3x + 9 Which expression represents the perimeter of the triangle?

A. 3x + 18
B. 3x + 27
C. 9x + 9
D. 9x + 27

Answers

the perimeter of the triangle is 3x + 18 yw

multiply and find the volume

Answers

Answer:

195 cubic centimeters (cm^3)

Step-by-step explanation:

sorry it's late

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HELP I NEED HELP ASAP

Answers

Answer:

The answer to your question would be...

D. $8.15

Answer:

D. 8.15

Step-by-step explanation:

8.25 times 10 = 82.5

82.5-6.5=76

76+5.5=81.5

81.5/10=8.15

Why would the velocity of a river affect its ability to erode sediment?

Answers

The power of a river to cause erosion and carry sediment depends on several factors. A rivers slope, volume of flow, and the shape of its stream bed all affect how fast the river flows and how much sediment it can erode. ... When a river slows down, it drops its sediment load.

The velocity of the river that impact the capability for eroding the sediment should be explained below.

Impact on the velocity of a river:

In the case when the slope should be considered too gentle and here the velocity should be too slow for transporting the sediments that being supplied via weathering and erosion also the sediments should be piled up.

It rised  the gradient that resulted the water to flow quickly that increased the erosion and transport due to which it decreased the gradient.

Learn more about velocity here: https://brainly.com/question/2955333

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