The coordinates of three of the vertices of a rectangle PQRS are P(-2, 2), Q(4, 2), and R(4, -3). A. Find the coordinates of point S, the fourth vertex of rectangle PQRS. B. What is the perimeter of the rectangle PQRS?

Answers

Answer 1

Answer:

The coordinates are (x,y) (-2,-3)

Step-by-step explanation:

We need to take note of the following properties.

1. A rectangle has 4 sides.

2. Two opposite sides of a rectangle are equal.

Coordinates of the triangle on the graph:  P(-2, 2), Q(4, 2), R(4, -3) and  S(x,y)

The length of the triangle:

We can get this from the x -coordinates of P and Q

Length = |-2 - 4| = 6 (We are only taking positive values for dimensions. You cannot have a negative length)

Recall that the length of the two sides is equal. Therefore, we can relate the length of the second side to its coordinates using the coordinates of R and S

x = 4-6; x = - 2

The breadth of the triangle

We can get this from the y -coordinates of Q and R

Breadth = |-3 -2| = 5 (We are only taking positive values for dimensions. You cannot have a negative breadth)

Recall that the breadth of the two sides is equal. Therefore, we can relate the breadth of the second side to its coordinates using the coordinates of R and S

2 - y = 5; y = -3

Therefore the coordinates are (x,y) (-2,-3)


Related Questions

Examine the sequence of integers below.
26, 17, 8, -1, -10, -19
Which algebraic expression represents the nth integer in this sequences

Answers

Answer:it’s D

Step-by-step explanation:

Each time u subtract -9 and it keeps multiplying 9,18,27

An algebraic expression represents the nth integer in the given sequences is 35-9n.

Given that, the sequence of integers 26, 17, 8, -1, -10, -19.

What is an algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

From the given sequence 26, 17, 8, -1, -10, -19 we have a=26 and d=17-26=-9.

Now, put a=26 and d=-9 in an=a+(n-1)d, we get

an=26+(n-1)(-9)

=26-9n+9

=35-9n

Therefore, an algebraic expression represents the nth integer in the given sequences is 35-9n.

To learn more about the arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ5

Which statement is not always true for a parallelogram?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?

NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!

Answers

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

What is the y-intercept and slope of the following equation y=8-2x​

Answers

Answer:

Sloper = -2

y-intercept = (0,8)

Step-by-step explanation:

y=8-2x

y=-2x+8

m=-2

b=8

Answer:

slope(m)=-2

y-intercept (c)=8

Step-by-step explanation:

here,y=-2x+8

reducing it into slope intercept form we get,

y=(-2)x+8

comparing it with y=mx+c we get,

slope(m)=-2

y-intercept(c)=8

please help me with this question ​

Answers

Answer:

top right and bottom left

Step-by-step explanation:

im in precal and if i get this wrong i am so sorry

but im pretty sure those r what increasing graphs look like as the increase in a positive direction

hope this is correct and helps :)

Each blank on the coordinate plane has an address called the blank,blank

Answers

Answer:

adress, Like ( make up an adress)

Step-by-step expanation:

Answer:

Each point on the coordinate plane has an address called the ordered pair.

Step-by-step explanation:

1. ab=l (solve for a)

Answers

Answer:

l/b=a

Step-by-step explanation:

what's the answer? ​

Answers

Answer:

80 degrees

Step-by-step explanation:

ALL TRIANGLES MUST EQUAL 180 DEGREES!

180-70-30 = 80

Say it with me.

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

Also, triangle CED reflects over the invisible y-axis. Angle C is shared = 70. Angle E is Angle A, and Angle B is Angle D (which is 80 degrees).

Please
answer both questions

Answers

A & C if I’m wrong I’m sorry

Answer:

1)A

2) C

hope this helps you!

Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105

Answers

The answer is D I believe

nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer​

Answers

19950/15=1330
1330*20=26600

You want to learn karate at a fitness center. You have two options; option A is to pay a $300 registration fee plus $10 per additional lesson. Option B is pay $35 for each lesson you attend. Make equations to represent the total cost of Option A and B.

Answers

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

easy question/ whats |9x|=-9

Answers

Answer:

you divide 9 from both side and get x=-1

Step-by-step explanation:

Big brain stuff

x=1 Thats  the answer

HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.

Answers

Answer:

I think it is D

Step-by-step explanation:

Answer:

C

EDGE

Step-by-step explanation:

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function glven below.

Answers

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.​

Answers

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

What is the solution set for

−4x + 10 ≥ 5x + 55?

Answers

the correct answer should be what is in the photo below

Answer:

x[tex]\leq[/tex]-5

Step-by-step explanation:

If g(x) = 1/2x - 5, then for what value of x is g(x) = 8?
a) -1
b) 11
c) 26
d) 6

Answers

Answer:

c) 26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 5

g(x) = 8

Step 2: Solve for x

Substitute:                    8 = 1/2x - 5Isolate x term:               13 = 1/2xIsolate x:                       26 = xRewrite:                         x = 26

What is the least common denominator of 11/6 and 9/10?

Answers

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the least common multiple ( L.C.M ) of 6 and 10 = 30

What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5 ​

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5

STAY SAFE :)

determine the measure of each segment then indicate whether the statements are true or false

Answers

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Find the value of x.
2x – 4
10

Answers

Answer: 7

Step-by-step explanation:if 10 and the other equation are the same then 2(7)-4=10

please help!! im confused

Answers

Answer:

6x+3

yep hellooo he looo hey it's sksksn she's. d e s f e. s

Answer:

im confused as if the question but,

you know what to do and if you want you can post more of the question if there is more but ye,

your welcome

Step-by-step explanation:

x=2(for the example)

so,

2+3+5x2=

PEMDAS

5x2=10

2+3=5

soo,

10+5=15

pleaseeee helpppppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

6.85565

Step-by-step explanation:

The Bootle Corporation paid Leslie a quarterly dividend check for $828. Leslie owns 450 shares of Bootle. What was the quarterly dividend for one share of Bootle?

Answers

Quarterly dividend for 450 shares = 828
Quarterly dividend for 1 share = 828/450 =1.84

Hoped I help! Mark me brainly if I’m correct or would help a lot! Have a nice day!:)

I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS

Answers

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).

Answers

Answer:

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Step-by-step explanation:

Please tell me the answer I have been struggling. PS this is middle school math

Answers

Answer:8

Step-by-step explanation

Answer:

[tex]\frac{4}{8}[/tex]=[tex]\frac{50}{100}[/tex]

Step-by-step explanation:

#2 Rewrite this expression in standard from. (y-2) = 3(x + 1) O 3x - y = -5 0 4x + y = 2 O x + y = 5 0-3x + y = 5 Next >​

Answers

Answer:

Step-by-step explanation:

B

Answer:

It is -3x + y = 5

Step-by-step explanation:

So the answer is D

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