Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?

Answers

Answer 1

Answer:

(y, -x -6)

Step-by-step explanation:

The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)

The first transformation: 6 units right

[tex](x,y) -> (x + b, y)[/tex]

Where b = 6

So, the new coordinates will be

[tex](x + 6, y)[/tex]

The second transformation: 90° clockwise

[tex](x,y) -> (y,-x)[/tex]

So, the new coordinates will be

[tex](x + 6, y)-> (y, -x -6)[/tex]

Hence, the new coordinates of PQRS is (y, -x - 6)


Related Questions

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HEEEEEEELLLLLLPPPPPPPP!!!
THIS IS DUUEEEE TTTOOOODDDAAAYYYYY.
Question 1:
-|7-2x|+11= -8
Question 2:
9-7|-x-3|= -61
Question 3:
13|-2x+1|-10=159

Answers

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9-7|-x-3|= -61

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|-10=159

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

Find the volume of the prism.
6 cm
5 cm
7 cm
5 cm
6 cm

Answers

Answer:  Possibly, 105 cm³ if it is a triangular prism,  or

Possibly 210 cm³ if it is a rectangular prism

Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.

If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is

(6×5)/2 × 7

30/2 ×7

15 × 7 = 105 cm³ for a triangular prism

If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is

6×5×7 = 210 cm³ for a rectangular prism

Sandra spent $32 for a purse and buys aCD for $15. Write an expression to represent this problem

Answers

Answer:

x - ($32 + $15); or x - $32 + $15

Step-by-step explanation:

Spending on the purse and a CD means less cash then the starting amount, x.

Answer:

$32+ $15=$47

Step-by-step explanation:

PLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

Answers

Answer:

SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.

(b) Does each triangle have the same change in y-values? Explain.

(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

tep-by-step explanation:

Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6​

Answers

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

©C a r n e g ie L e a r n in g 6.1 Picture Algebra • 3093. The members of a small town’s local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?

Answers

Answer:

1st - $92

2nd - $72

3ed - $36

Step-by-step explanation:

save 20 dollars for first place, because they are going to get that no matter what.

200 - 20 = 180

we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.

180 / 5 = 36

3ed place gets $36

2nd gets twice that, $72

1st gets the same as 2nd +$20, so $92

to check our answer, add up all their profit and make sure it's 200 even.

When estimating you should use what numbers

Odd
Even
Large
Round

Answers

Answer:

Round

Step-by-step explanation:

A number is doubled and then increased by nine. The result is ninety- Three. What is the original number?

Answers

Answer:

42

Step-by-step explanation:

First you subtract 93 by 9. You get 84. Then you divide it by 2. Which is your answer, 42.

This can be represented as:

93=2x+9

First subtract 9 from both sides

84=2x

Then divide by 2 on both sides

42=x

PLEASE ANWSER RIGHT AND U WILL GET BRAINLIEST the fraction 5/4 is an example of an improper fraction a proper fraction or a mixed number ​

Answers

Answer:

It is a proper fraction

Step-by-step explanation:

The correct answer is improper

Using compatible numbers to estimate, which expression has a quotient of about 70?
O A. 3, 424 : 49
OB. 5,358 - 89
O C. 6,409 - 79
O D. 5,238 : 89

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Hoped this helped :)

Answer: im positive its A me and my class did this at school

Step-by-step explanation:

A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours

Answers

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

What are the partial products of 73 × 8

Answers

The partial products of 73 x 8 is = 584

What is partial product?

The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.

Steps to calculating the partial product for 73 x 8

(70 +3 ) * (8)

= 70 x 8  = 560 and ;

= 3 x 8 =  24

Step 2 - Add all the products together

560 + 24 = 584

Learn more about partial product at:
https://brainly.com/question/24716925
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please help me ASAP :)

Answers

c.) 1/2³ i got it right on assignment

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)​

Answers

Answer:

b

Step-by-step explanation:

the point-slope form of the equation is equal to

Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many yards of rope does Martin need to rope off the perimeter of the garden?
Enter your answer in the box.

Answers

The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.

What is the Perimeter of a Figure?

Perimeter of any figure is the total length of the surrounding of the figure or shape.

Given:

A unit on the grid = 10 yards

From the diagram given, the figure is surrounded by 32 units

Thus:

Perimeter of the garden = 32 units × 10 = 320 yards.

Learn more about perimeter on:

https://brainly.com/question/19819849

In this set of chips, each plain chip has a
value of -1, and each striped chip has a value of 1. What is the value of the set?

Answers

Answer:

-1x + y  

Where x = number of plain chips and y = number of striped chips.

Step-by-step explanation:

NOTE: if an image was giving with this question please attach the image to get a more simplified answer.

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?

Answers

Answer:

x>$25000

Step-by-step explanation:

Estimate the number of fish eaten by the dolphins.
note
The dolphins were fed
150 fish at 9:00 A.M. and
471 more fish at 5:00 P.M.
Estimate the total number
of fish the dolphins ate.
I fish

Answers

The dolphins ate about 621 fish 150+471=621 or 620 since it said ‘‘about’’ means to round to the nearest whole number

PLS Answer these questions! I have a test!

Answers

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

116=29 degrees I just know


Bao can eat 12 chicken wings in 3 minutes. She eats the chicken wings at a constant rate.
How many chicken wings can Bao eat in 12 minutes?
chicken wings
Stuck?

Answers

Answer:

48

Step-by-step explanation:

If Bao eats 12 chicken wings in 3 minutes than that will help us find the unit rate by dividing 12 by 3, and then you will get 4. Now that you know the unit rate you will multiply it by 12 and get 48.

Answer:

For this we have to do simple division and multiplication, giving us the answer of 48.

Step-by-step explanation:

The easiest way to solve this is to first divide 12 by 3, giving us 4, the amount of time it would take for Bao to eat a single chicken nugget. And then since the question asks how many Bao can eat in 12 minutes, you would multiply 4 by 12, thus giving you the answer of 48.

Draw a histogram for the intervals 2-4, 5-7, 8-10, and 11-13 using the following data: 11,3,13,4,2,2,13,3,6,4,6,11,4,13,7,3,3,3,10,2

A
B
C
D

Answers

are you in statistics because I took it and I'm good at it. pet me see if I can figure it out. give me a minute

HElP!! Plzz thanks you

Answers

Answer:

a) 20

b) ab

Step-by-step explanation:

[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]

[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]

Diego is selling raffle tickets for $1.75 per ticket. How many tickets would Diego need to sell to earn $140?

Answers

Answer:

Diego would need to sell 80 tickets.

Step-by-step explanation:

Divide 140 by 1.75 to get your answer. To double-check multiply 1.75 by 80, and you should get 140.

Answer:

Diego would sell 80 tickets.

Step-by-step explanation:

Here are four logos.
Which two logos have more than one line of symmetry?

Answers

Answer:

A and C

Step-by-step explanation:

A and C

Thank you

The  logos have more than one line of symmetry are Option(c) and Option (1)

What is a line of symmetry?

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.

According to the question

Logos have more than one line of symmetry

are option A and Option C

As in Option A if we cuts the shape exactly in half along lines marked in circle

There half will be same

so , there are 3 lines of symmetry in option A.

Now, In option 4

if we cuts the shape exactly in half along the middle of  horizonal and vertical side of square figure

There half will be same

So , there are 2 lines of symmetry in option C.

Hence, The  logos have more than one line of symmetry are Option(c) and Option (1) .

To know more about line of symmetry here:

https://brainly.com/question/1597409

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County day scholarship fund receives a gift of $130,000 the money is invested in stocks, bonds and CDs. CDs pay 2% interest, bonds pay 2.9% interest, and stocks pay 9.9% interest. country day invests $25000 more in bonds than in CDs. if the annual income from the investment is $8885, how much was invested in each vehicle?

country day invested $______ in stocks.
country day invested $______ in bonds.
country day invested $______ in CDs.

Answers

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.

We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:

[tex]C+B+S=130000[/tex]

We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:

[tex]0.02C+0.029B+0.099S=8885[/tex]

Let's remove the decimals by multiplying everything by 1000. This yields:

[tex]20C+29B+99S=8885000[/tex]

Now, we know that $25000 more was invested in bonds than CDs. So:

[tex]B=25000+C[/tex]

We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:

[tex]20C+29(25000+C)+99S=8885000[/tex]

We want to isolate the C variable. Here, we removed the B but we still have an S.

So, to remove the S, we can go back to our first equation. We have:

[tex]C+B+S=13000[/tex]

Subtract C and B from both sides:

[tex]S=130000-C-B[/tex]

We can now substitute this for S:

[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]

We got a B again. But, we already know what B is. Substitute:

[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]

So, our equation is now in terms of C. Solve for C. Distribute on the far right:

[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]

Combine like terms:

[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]

Distributive Property:

[tex]20C+725000+29C+10395000-198C=8885000[/tex]

Combine like terms:

[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]

Add:

[tex]-149C+11120000=8885000[/tex]

Subtract 1112000 from both sides:

[tex]-149C=-2235000[/tex]

Divide both sides by -149:

[tex]C=15000[/tex]

So, a total of $15,000 was invested in CDs.

Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.

To find out how much was invested in stocks, we can use our first equation again:

[tex]C+B+S=130000[/tex]

Substitute 15000 for C and 40000 for B:

[tex]15000+40000+S=130000[/tex]

Add:

[tex]55000+S=130000[/tex]

Subtract 55000 from both sides:

[tex]S=\$75000[/tex]

So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.

And we're done!

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music

Answers

Answer:

600 × .8 = 480

480 Students

PLEASE HELP DUE TODAY WILL MARK BRAINLIEST
Write the equation of line in slope-intercept form.
Line parallel to y=−2x+3 that passes through the point (−100,−100)

Answers

Answer:  y= -2x - 500  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b      where b is the y-intercept

-100 = 400 + b

-400  -400  

b = -500  

The y intercept is -500 and the slope is -2 therefore, the equation will be  

 y= -2x - 500

Find 3 ratios that are equivalent to the given ratio. 6/9

Answers

Answer:

2:3

12:18

18:27

Step-by-step explanation:

Answer:

In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.

So we have:

[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]

As well as:

[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]

And finally:

[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]

2. Describe the process used to solve an equation with variables on both sides.

Answers

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works

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