4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).

4. A Rectangle Is A Four-sided Flat Shape Where Every Interior Angle Is A Right Angle.Therefore, Opposite

Answers

Answer 1

Answer:

coordinates of R(x,y) is R(6,-2).

Step-by-step explanation:

A. we know that

The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)

using a graph tool

see the attached figure

Step 1

Find the slope of the line PS

the slope is equal to

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

mPS=(-4-2)/(3+1)=-6/4=-3/2

Step 2

Find the equation of the line QR

we know that

PS and QR are parallel lines

so

their slopes are the same

mQR=-3/2

with mQR and the point Q(2,4) find the equation of the line

y-y1=m*(x-x1)

y-4=(-3/2)*(x-2)

y=(-3/2)*x+3+4--------> y=7-(3/2)*x

Step 3

Find the equation of the line SR

we know that

SR and QR are perpendicular lines

so

the product of their slopes is equal to minus one

mSR*mQR=-1

mSR=2/3

with mSR and the point S(3,-4) find the equation of the line SR

y-y1=m*(x-x1)

y+4=(2/3)*(x-3)

y=(2/3)*x-2-4---------> y=-6+(2/3)*x

Step 4

Find the intersection of the lines QR and SR

we know that

the intersection of the lines QR and SR is the point R

y=7-(3/2)*x------> equation 1

y=-6+(2/3)*x------> equation 2

equate equation 1 and equation 2

7-(3/2)*x=-6+(2/3)*x

7+6=(2/3)*x+(3/2)*x

13=(2/3)*x+(3/2)*x

Multiply by 6 both sides

6*13=4*x+9*x

13*x=6*13

x=6

find the value of y

y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4

y=-2

therefore, the coordinates of point R are (6,-2)

4. A Rectangle Is A Four-sided Flat Shape Where Every Interior Angle Is A Right Angle.Therefore, Opposite

Related Questions

I don’t understand this

Answers

AA Postulate. You have two angles available for both triangles.

a pound of chocolates costs 6 dollars. chris buys p pounds. write an equation to represent the total cost c that chris pays.

Answers

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

help me for a kith please

Answers

Answer:

Kith means becoz i am from India

I suck at math but here’s a thocolate thip thookie

X/2-5=25???????


HELP!!!!

Answers

Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

If 3x + 2 = 6, what is the value of x?

Answers

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

3x + 2 = 6 ( subtract 2 from both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1.33}}}}}[/tex]

Step-by-step explanation:

[tex] \star \sf \: \: {3x + 2 = 6}[/tex]

[tex] \text{ \sf{ Step 1}}[/tex] : Move 2 to right hand side and change it's sign

[tex] \longmapsto{ \sf{3x = 6 - 2}}[/tex]

[tex] \text{ \sf{  Step \: 2 \: }}[/tex] : Subtract 2 from 6

[tex] \longmapsto{ \sf{3x = 4}}[/tex]

[tex] \text{ \sf{ Step \: 3}}[/tex] : Divide both sides by 3

[tex] \longmapsto{ \sf{ \frac{3x}{3} = \frac{4}{3} }}[/tex]

[tex] \text{ \sf{ Step \: 4 \: }}[/tex] : Calculate

[tex] \longmapsto{ \sf{x = 1.33}}[/tex]

The value of x is 1.33

Hope I helped!

Best regards! :D

~TheAnimeGirl

Adriana earned a gross income of $46,250 last year. She made $569.10 in IRA contributions, donated $841 to her favorite charity and paid $1,399.03 in home mortgage interest. If Adriana claims a standard deduction of $5,700 and her exemption is $3,650, what is her taxable income?
a.) $34,090.87
b.) $36,330.90
c.) $39,790.87
d.) $34,931.87

Answers

Answer:

B

Step-by-step explanation:

2. Deena drove 585 miles in 9 hours. How fast did she drive in 1 hour?​

Answers

Answer:

Deena drove 65 miles in 1 hour

Step-by-step explanation:

hope it helps

Graph y=-2x+5 only please help quickly
I’ll give brainliest to the quickest person

Answers

Answer:Slope:  − 2 y-intercept:  ( 0 , 5)x 0 5/2 y 5,0

Step-by-step explanation:

I need someone to explain functions and functional symmetry to me. This is very important, so if you do not have a legit answer, you will get reported.

Answers

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

Answer:

a shape that has reflective symmetry either x or y axis of origin.

in other words...  it's a mirror image.

Can someone help with this

Answers

Draw a triangle then use pythagoras theorem

Answer:

[tex]GH=2\sqrt{10}[/tex]

Step-by-step explanation:

Considering each is square is 1x1.

We have the points G(-2, -3) and H(0, 3).

Using the distance formula:

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

[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]

[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]

[tex]$d=\sqrt{4 +36}$[/tex]

[tex]d=\sqrt{40}=2\sqrt{10}[/tex]

Also, using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]2^2+6^2=c^2[/tex]

[tex]4+36=c^2[/tex]

[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]

Tanya is 6 times younger than her great-grandfather. If a zero is placed between the digits of her age, it will read as the age of her great-grandfather. How old is Tanya?

Answers

Answer:

Tanya is 18 years old.

Step-by-step explanation:

In order to determine this, we assume the following

x =  tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age

y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age

Therefore, we have:

10x + y = (1 / 6) * (100x + y)

Multiply both sides by 6, we have:

[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6

60x + 6y = 100x + y

Collect the like terms, we have:

6y - y = 100x - 60x

5y = 40x

Divide through by 5, we have:

y = 8x

That is,

8x = y

Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:

The age of Tanya = 18

This can be verified as follows:

18 = 108 / 6

18 * 6 = 108

108 = 108

Therefore, Tanya is 18 years old.

Patrick left an $8 tip on a $50 restaurant bill. What percent tip is that?

Answers

Do 50 multiplied by x = 8. Solve for x.
It would give you .16 which is 16%.

what is the square root of 5

Answers

Answer:

The square root of 5 is 2.2360679775

The square root of 5 is 2.23

answer for p=2l+2w for l

Answers

Answer:

[tex]I=\frac{p-2w}{2}[/tex]

Step-by-step explanation:

[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]

Kyle ran 150 feet and 15 seconds how many hours would it take him to run 30 miles

Answers

Answer:

  b.  4.4 hours

Step-by-step explanation:

We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...

  time = distance/speed

  [tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]

Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.

Christina is paid biweekly. Her annual salary is 37,500. What is her biweekly salary, rounded to the nearest cent?

Answers

Answer:

$1,423.08

Step-by-step explanation:

[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.

*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

The biweekly salary, rounded to the nearest cent is 1,423.08.

It is required to find the solution.

What is rounded number?

A number that is easily multiplied, divided, etc., and especially a number that ends in zero.

Given :

Christina is paid biweekly. Her annual salary is 37,500.

According to given question we have,

We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

37500/26=1423.076

Rounded to the nearest cent it becomes 1,423.08.

Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.

Learn more about rounded number here:

brainly.com/question/17561230

#SPJ6

Find the values of x for which f(x) = g(x).
f(x) = x2 + 2x + 1,
g(x) = 5x + 19

Answers

The x value is -18, hope this helps :)

When they ask, for example "What is the value of √100?" are they asking what is the square root of 100?

Answers

Answer: I need help on this tooooooo

Step-by-step explanation:

Answer:

Yes. The term [tex]\sqrt{}[/tex] means "square root".

If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.

tyrone walked 8 miles in a walkathon at a speed of 2 mph how long was he walking

Answers

Answer:

4 hours

Step-by-step explanation:

Distance / Velocity = Time

In this case, 8 / 2 = 4

Given the formula C = 5(f-32)/9, find the value of C if F is 68

Answers

Answer:

Step-by-step explanation:

C = 5(68 - 32)/9

   = 5(36)/9

    = 180/9 = 20

C = 20

Please 20 points ASAP

Answers

a. (-1, 1)

b. (2, 7)

c. (1, -1)

hope this helps :)

Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

Pls help I don’t understand

Answers

Answer

B) a bisector
Answer
B) bisector!!!

Solve the equation for x
3x + 5 = 14

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3x+5=14[/tex]

Subtract 5 from both sides:

[tex]3x+5-5=14-5[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{9}{3}[/tex]

[tex]x=3[/tex]

Please 20 points like rn 5 mins left on test

Answers

Answer: counterclockwise rotation of 90° and a reflection over y axis

Step-by-step explanation:

Help please, I need it

Answers

Answer:

  2)  c)  (x-3)² + (y+2)² = 25

  5)  x^2 +y^2 -8x -16y +54 = 0

  6)  x^2 +y^2 -10x -12y +36 = 0

Step-by-step explanation:

2) The standard form equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You are given the center: (h, k) = (3, -2) and a point on the circle. So, the equation will be ...

  (x -3)^2 +(y +2)^2 = r^2

Since we know a point on the circle we know that ...

  (7 -3)^2 +(1 +2)^2 = r^2 = 16 +9 = 25

So, the circle's equation is ...

  (x -3)^2 +(y +2)^2 = 25 . . . . . matches choice C

__

5) As in the previous problem, the standard form equation is ...

  (x -4)^2 +(y -8)^2 = (-1-4)^2 +(7-8)^2 = 25+1 = 26

To put this in general form, we need to subtract 26 and eliminate parentheses.

  x^2 -8x +16 +y^2 -16y +64 -26 = 0

  x^2 +y^2 -8x -16y +54 = 0

__

6) A circle tangent to the y-axis will have a radius equal to the x-value of the center point.

  (x -5)^2 +(y -6)^2 = 5^2

  x^2 -10x +25 +y^2 -12y +36 = 25

  x^2 +y^2 -10x -12y +36 = 0

how do i solve for equations that have 2 variables

Answers

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12      -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

A number y plus 7 is at least 16

Answers

Answer:

yes

Step-by-step explanation:

you are correct

Answer/Step-by-step explanation:

[tex]16-7=9[/tex]

Therefore [tex]y\geq9[/tex]

There was no picture to go off of, but this should be correct anyways!

Please mark Brainliest!!! =D

Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).

Answers

Answer: 13

Step by step explanation:
f(0)=2(0) - 2
=0 - 2
= -2
g(3) = 5(3)
= 15
f(0) + g(3)
= -2 + 15
=13

Compare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning

Answers

Answer:

Step-by-step explanation:

et A=120°

and B=5Pi /6

Pi radians ---------> 180°

  x<----------------------- 120°

so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3

so A = 2Pi / 3 radian  

let 's compare A and B

we know that 5Pi /6 = 0.8 Pi and  2P/3= 0.6 Pi, 0.8>0.6,  

finally 5Pi /6 > 2P/3

so B>A

Use the commutative property to write an equivalent expression to 4g + 13, and show that they are equivalent for g = 10 and g = 2. Complete the statements. If you change the order of the terms you can create the equivalent expression . After substituting 10 for g, the expressions are and . After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2). The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.

Answers

Answer: 1= ( 13 + 4g )

2= ( 4(10) + 13 )

3= ( 13 + 4(10) )

4= ( 53 )

5= ( 21 )

Step-by-step explanation:

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

Commutative property :

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

                      [tex]a+b=b+a[/tex]

Given expression is,  [tex]4g+13[/tex]

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

For [tex]g=10[/tex],    

                    [tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]

Learn more about the  commutative property here

https://brainly.com/question/2475734

Other Questions
Do you think the study of Financial Accounting can help you in running your business? Why? Look at all of the lines in this drawing. Describe the lines you see. Try to come up with 5 words to describe the lines you see in the picture. A car reversing at -7.2 m/s has a displacement of -21.6 m. How long did this take? Please help me the question is on the file ;-; The neurotransmitter most closely associated with sensory processes, mood, and depression and anxiety diagnosis is: Describe the greatest adventure of your life. Air that initially occupies 0.22 m3 at a gauge pressure of 86 kPa is expanded isothermally to a pressure of 101.3 kPa and then cooled at constant pressure until it reaches its initial volume. Compute the work done by the air. (Gauge pressure is the difference between the actual pressure and atmospheric pressure.) Which word best completes the sentence?Select the word from the drop-down menu.The opposing team was (choose) skill and record.enormous formidableinterestingtedious Is highway 65 a formal, functional, or perceptual region One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again? Solve the following function. Show all work. If g(x) = 3x + 2, find g(4). The Amazon River Basin in Brazil would best be described as a _______ region.1. Formal2. Functional 3. Perceptual Example of parallelism in animal farm the adjective for the word attract Which African Empire is described in the box above? A. Songhai B. Mali C. Kush If a reader wants to evaluate a text, which is the best question to ask while reading it? a. . what elements do I find interesting, and do I care about the authors purpose? b. . How many hours of research did the author put into writing this text? c. . how does this text affect me and what I want to say to the world? d. . what elements are used, and do they help the authors purpose? What two assertions of Thomas Jefferson helped James Madison change his mind about the need for a Billof Rights? SOMEONE PLZZ HELP ITS DUE TODAY! Ill brainlist you!! Why is todays English different from old English NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees