PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?

Answers

Answer 1

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.


Related Questions

how do you graph the linear function g(x)=−4+7x

Answers

G(x)= 7x -4
The y intercept is negative four so in the y axis it is going to intercept at negative 4

The graph of the function g(x) = -4 + 7x is shown in the picture which is a linear function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The function is:

g(x) = -4 + 7x

The slope of the above function is:

m = 7

The y-intercept is c = -4

As we know, the linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.

The graph of the function g(x) can be plotted on the coordinate plane.

Thus, the graph of the function g(x) = -4 + 7x is shown in the picture which is a linear function.

Learn more about the function here:

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|x|= 4 how to put it in a number line?

Answers

Answer:

point on 4 and -4

Step-by-step explanation:

IxI = 4can either be 4 or -4

Answer:

just put the point on 4

Step-by-step explanation:

if it says incorrect i am very sorry

the deepest point of lake titicaca in the south america is -922 feet relative to its surface. the deepest point is 11,542 feet above sea level. what is the elevation of the surface of the lake? use absolute value to explain. ​

Answers

Answer:

it is 18,920 feet above sea level

Step-by-step explanation:

Help:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(::(:(:(:(:(::(:(:(::(:(:(:(:(::(:

Answers

Answer:

2 cups of venigar to 4 cups of water

Step-by-step explanation:

its right

Answer:

B 2 cups of vinegar to 4 cups of water

Step-by-step explanation:

YOU'RE WELCOME

there are 100 centimeters in 1 meter. How many centimeters are 118 meters?​

Answers

Answer:

11800

Step-by-step explanation:

Answer:

11800

Step-by-step explanation:

since there are 100 centimeters you just add the number of zeros to the end of the number of meters

What value of x makes this equation true? 0.6x − 5 = 0.1x + 7

Answers

Answer:

Step-by-step explanation:

0.6x − 5 = 0.1x + 7

.6x-.1x=.5x

.5x -5 = 7

7 + 5 = 12

.5x = 12

12/.5 = 24

x = 24

Which is the graph of the equation y-1=2/3(x-3)?​

Answers

TAnswer: he graph in the attached figure

Step-by-step explanation:

we have

y-1=2/3(x-3)

This is the equation of a line into point slope form

where

the point is (3,1) and the slope is m=2/3

using a graphing tool

The graph in the attached figure

Answer:

the answer is B

Step-by-step explanation:

got it right on edge

Oceanside Bike Rental Shop charges a 17 dollar fixed fee plus 7 dollars an hour for renting a bike. Alyssa paid 66 dollars to rent a bike. How many hours did she pay to have the bike checked out? Pear Deck​

Answers

Answer:

4

Step-by-step explanation: bruh jus read it

Question 5 of 10
Which points are separated by a distance of 7 units?
O A (1,3)
O B. (5,7)
O C. (3,5)
O D. (9.4)
(24)
SUBMIT

Answers

Answer:

d

Step-by-step explanation:

cause 9-2 is 7 so your answer is d

The cube root shown has been written as a product where one of the factors is a perfect cube.

a =?
b=? ​

Answers

Answer:

a=3 b=6

Step-by-step explanation:

I just answered that question correctly on Edgeunity.

Answer:

3, 6. just answered it and got it right.

Step-by-step explanation:

Graph A
Graph B
Graph C
ORE
2
.
Graph D
Graph E
ū v

Answers

Answer:

a

Step-by-step explanation:

Given m||n, find the value of x.

Answers

Answer:

x = 16

Step-by-step explanation:

the two angles are vertical angles.

vertical angles are equal.

4x - 7 = 3x + 9

subtract 3x from both sides of the

4x - 3x - 7 = 3x + 9 - 3x

x - 7 = 9

add 7 to both sides of the equation

x - 7 + 7 = 9 + 7

x = 9 + 7

x = 16

A railroad car container can hold 42,000 pounds. Mr. Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container? Explain. (each oven weighs 200 pounds)

Answers

Answer:

THe number of freezers that can be shipped along with 50 ovens is 40

Step-by-step explanation:

total weight of ovens being shipped is 18000 lb. and in order to find the excess weight we have to subtract the ovens weight and the total carrier weight.

equation is:

42,000 - 18000= 24000 lbs.

you then divide the left over pounds by the weight of the freezers to get the total amount of freezers that can be put into a railcar.

24000/600=40

So 40 freezers and 90 ovens can fit within one railcar.

Help me solve? (View Screenshot below)

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer would be f. x > 2

A baker is making cakes.

She starts with 48 eggs.
She makes 10 cakes.
She has 18 eggs leftover.
Which equation can be used to find the number of eggs, x, the baker uses in each cake?
A.) 10x+18=48
B.) 18x+10=48
C.) 10(x+18)=48
D.) 18(x+10)=48

Answers

Answer:

A. 10x+18=48

Step-by-step explanation:

She uses x eggs per cake, and she bakes 10 cakes. She has 18 eggs left over. So the product of the 10 cakes and the number of eggs she used for each cake, plus the 18 eggs left over will get you the ending answer of 48.

41.30769230769231 as a mixed number i will give branlyest

Answers

Answer:

41 4/13

Step-by-step explanation:

brainlest plz?

Answer:hmmm

Step-by-step explanation:

Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles.

Answers

Answer:

Carlos rode further on Sunday by [tex]1\frac{51}{56} miles[/tex] miles.

Step-by-step explanation:

Carlos covered distance on Saturday [tex]=\frac{139}{8}[/tex]

He covered distance on Sunday = [tex]\frac{135}{7}[/tex]

Equivalent fractions:

[tex]\frac{139}{8} \times \frac{7}{7}=\frac{973}{56}\\ \frac{135}{7} \times \frac{8}{8}=\frac{1080}{56}[/tex]

So,[tex]\frac{1080}{56}>\frac{973}{56}\\ \frac{135}{7}>\frac{139}{8}[/tex]

So, He covered more distance on Sunday

Difference between distances =[tex]\frac{1080}{56}-\frac{973}{56}=\frac{107}{56}=1\frac{51}{56}[/tex]

So, Carlos rode further on Sunday by [tex]1\frac{51}{56} miles[/tex] miles.

Answer:

d

Step-by-step explanation:

please help mee me me

Answers

Answer:

B

Step-by-step explanation:

Consider perfect squares on either side of 132, that is

121 < 132 < 144 , thus

[tex]\sqrt{121}[/tex] < [tex]\sqrt{132}[/tex] < [tex]\sqrt{144}[/tex] , that is

11 < [tex]\sqrt{132}[/tex] < 12 → B

Answer:

its b

Step-by-step explanation:

it didnt let me answer for some reason

HELP IF YOU'RE GOOD AT GEOMETRY

Answers

Answer:

y=-2/3+8 would be the correct answer.

Step-by-step explanation:

Using the formula y-y1=m(x-x1), you would have y-4=-2/3(x-6). Next, distribute -2/3 to x and -6 and now you'll have y-4=-2/3+4. Add 4 to both sides to make y by its self and then you'll have y=-2/3+8 as the equation of the line.

ANSWER FAST PLEASE :)

Answers

Answer:

-27.34

Step-by-step explanation:

to convert 17/50 to decimal, just multiply the numerator and denominator by 2 to see what the numerator would be out of 100 (aka in decimal)

17/50 --> 34/100

34/10 = .34

Answer:-27.34

Step-by-step explanation:

Write an inequality that shows the number
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 1000 pounds. He plans to use his utility vehicle to haul blocks to his backyard.
of 3-pound blocks, b, Derek can haul at one time in his utility vehicle

Answers

Answer:Write an inequality that shows the number

Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 1000 pounds. He plans to use his utility vehicle to haul blocks to his backyard.

of 3-pound blocks, b, Derek can haul at one time in his utility vehicle

Step-by-step explanation:

The inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle is b ≤ 281

Given,

Derek weighs 155 pounds.

The utility vehicle can carry a maximum of 1000 pounds.

He plans to use his utility vehicle to haul blocks to his backyard of 3-pound blocks.

We need to find the inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle.

How do we distribute equally a whole amount into a number of items?

We divide the total amount by the number of items.

Example:

15 kg for 5 boxes.

Each boxes weigh = 15/5 = 3 kg.

Find the pounds the utility vehicle can carry.

= 1000 pounds

Find the remaining pounds the utility can carry.

= 1000 - 155

= 845 pounds

Find the number of 3-pound blocks that can be carried by 845 pounds.

= 845 / 3

= 281.66 blocks

Now,

Since the number of 3-pound blocks can not be in decimal numbers we have,

281 blocks.


We can write this as:

b = number of 3-pound blocks

b less than or equal to 281 blocks.

b ≤ 281

Thus the inequality that shows the number of 3-pound blocks b Derek can haul at one time in his utility vehicle is

b ≤ 281

Learn more about how to write a sentence as an inequality here:

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Ms. Waston made a cake that has a silkscreen photo on the icing. The width of the square photo on the cake is 3 times the width of the original photo, n. The area of the icing in square inches can be found with the expression shown below. Which statement best describes the term (3n)?

Answers

Answer:

the formula for the width of the photo on the cake

Step-by-step explanation:

The term 3n is best described as the formula for the width of the photo on the cake. That is because, as described in the question the original photo has a width of length n. While the photo on the cake is 3 times that of n, meaning that the formula is stating that the width of the photo is 3 multiplied by the value of n. Which is represented as 3n, just as shown in the question. Therefore, that would be the best representation of that term.

If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?

Answers

73.71 because 63*.17=10.71, so 63+10.71=73.71

WILL MARK YOU BRAINLIEST PLSS HELP

Answers

H(-2) = 2(-2)^2 - 3(-2)
= 2(4) - (-6)
= 8 + 6
= 14

(-2.04) (-0.04) What is the product of the expression above?​

Answers

Answer:

0.0816

Step-by-step explanation:

Answer:

0.0816

Step explanation:

The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?

Answers

Answer: -0.55

Explanation:2.9 - -3.45 = -0.55

Pls give brainless

Find the slope of the line below

Answers

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation: you can count rise over run. the space from the two points is 4/6, which simplifies to 2/3.

Which one of these grids is shaded red and blue in the ratio 5 : 7?
А
B
с
D
E
F
А
B
С
D
1
E
F

Answers

Answer:

E

Step-by-step explanation:

there are 5 red boxes and 7 blue boxes

The answer is e I hope this helped

Tom earns $3.25 per hour at the car wash plus $1.50 for each car he washes. If he wishes to earn at least $100 on a busy weekend during which he works 12 hours, what is the minimum number of cars that he must wash? Which property of equality did you use to solve this problem?

Answers

Answer:

41, I did simple math

Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.

100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87

Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its D i took test 2020 edge

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Janelle is writing a letter to her local telephone company. Because most people look up phone numbers on the Internet,she wants to persuade the phone company to stop handing out phonebooks to every household. Which of the followingwould be the best source for her to include?1OA. the number of trees and gallons of gas used to make and deliver booksOB. interviews with people who cannot access phone numbers onlineOC. interviews with business heads who use the phonebook to advertiseOD. the number of 411 calls made on average within her community Please someone help me with this! Math The velocity-time graph for a cycle is shown.10488Velocity (m/s)200 2 4 6 8 10 12 14 16 18 20Time (seconds)a) Work out the distance travelled on the cycle in the first 14 seconds.b) Work out the acceleration in the first 4 seconds. Carolyn is looking over opinions based primarily on research studies. She has found that there are 31 of them in total. What organization is Carolyn researching? Which of the following does NOT represent a whole number?9, 6.0, 12/4, -12/3 help plz A plane takes off from a runway and begins its climb. The plane takes off at a constant acceleration of 20 LaTeX: m /s^{2} . Once it reaches altitude it moves at 246 m/s, and maintains that speed. If it continues at this speed for 93 min, how far would the plane have traveled from the time took off? Vicky reads at a constant rate. She can read 5 pages in 9 minutes write a linear equation in variables that represents the number of pages vicky reads in any given time interval Which of the following symbols represents a chlorine ion with a stable arrangement of eight valence electrons? Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to estimate the mean revenue from dealer service departments. The members are identified by numbering them 00 through 34. g Question 3 At Springfield, the engraving department is a bottleneck, and the company is considering hiring an extra worker, whose salary will be $55,577 per year, to mitigate the problem. With the extra worker, the company will be able to produce and sell 7,700 more units per year. The selling price per unit is $13.00. Cost per unit currently is $7.69 as follows: Direct material $2.56 Direct labor 1.00 Variable overhead 0.23 Fixed overhead (primarily depreciation of equipment) 3.90 Total $7.69 Calculate the annual financial impact of hiring the extra worker. The annual net profit will by $ by hiring the extra worker. I need help ASAP!! Please Rob peeled 125 oranges in 5 hours. At that rate, how many orangeswould he peel in 12 minutes? Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places) What is the percent decrease when the balance in a bank account goes from $300 to $60?The percent decrease is 20%.The percent decrease is 25%.The percent decrease is 80%.The percent decrease is 87%. The East River High School math teachers are buying ice cream cones for all of the algebra students. Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2. Write an equation in y=mx+b form (NO SPACES) that can be used to find the total cost of ice cream cones for ERHS students. Which are costs of a college education? Check all that apply.tuition federal grantsbooks and feesroom and boardstudent loan interest academic scholarships The song ""Im Sittin on Top of the World"" by Les Paul and Mary Williams is a technological wonder. What makes it so unique for its time? Elaborate on the technological and musical contributions by Les Paul as they pertain to this song. which graph represents the solution set for 1/2x 455.4 is 66% of what number is 1,2 a function? If its correct I will cashapp you :))