Triangle p is reflected in the line y = -x to give triangle q. Triangle q is reflected in the line x= -1 to give triangle r. describe fully the single transformation that maps triangle r to triangle p

Answers

Answer 1

Answer:

The single transformation that maps triangle r to triangle p is +90° (countrer clockwise) rotation about the point (-1, 0)

Explanation:

The coordinates change from reflection across y = -x is given as follows;

p = (x, y) becomes q = (-y, -x)

The reflection across the line x = -1 = reflection across the y-axis at x = -1

Reflection across the y-axis gives;

(x, y) → (-x, y)

The reflection across the line x = -1  gives;

(x, y) → (-x - 1, y)

Therefore;

q = (-y, -x) becomes r = (y -1, -x)

Hence the total transformation is presented as follows;

p = (x, y) becomes r = (y -1, -x)

y = -1 - x

Rotation of a coordinate about a point

x' = x×cosθ - y×sinθ

y' = y×cosθ + x×sinθ

Whereby we rotate -90° about the point (-1, 0), we have;

x = x'×cos(-90) - y'×sin(-90) -1 = y' - 1

y = y'×cos(-90) + x'×sin(-90) + 0 = -x'

Therefore, the single transformation that maps triangle p to triangle r is -90° rotation about the point (-1, 0)

Conversely, the single transformation that maps triangle r to triangle p is 90° rotation about the point (-1, 0).

Answer 2

[tex]x = x'×cos(-90) - y'×sin(-90) -1 = y' - 1y = y'×cos(-90) + x'×sin(-90) + 0 = -x'[/tex]The single transformation that maps triangle r to triangle p is about the point (-1, 0).

"Reflection"

Coordinates change from reflection y = -x .

p = (x, y) becomes q = (-y, -x)

reflection across the line x = -1

reflection across the y-axis at x = -1

Reflection across the y-axis =(x, y) → (-x, y)

The reflection across the line x = -1  gives;

(x, y) → (-x - 1, y)

q = (-y, -x) becomes r = (y -1, -x)

Now, p = (x, y) becomes r = (y -1, -x)

y = -1 - x

Rotation of a coordinate about a point :

[tex]x' = x×cosθ - y×sinθ[/tex]

[tex]y' = y×cosθ + x×sinθ[/tex]

Rotate -90° about the point (-1, 0),

[tex]x = x'×cos(-90) - y'×sin(-90) -1 = y' - 1[/tex]

[tex]y = y'×cos(-90) + x'×sin(-90) + 0 = -x'[/tex]

The single transformation that maps triangle r to triangle p is 90° rotation about the point (-1, 0).

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Related Questions

What are expenses called that change and are the same amount of money each month

Answers

Answer:

Variable Expenses

Explanation:

The expenses will vary each month

Variables expenses include gas groceries cars clothing

Thank you! hopes this helps!

Read the passage from John Locke’s Second Treatise of Government.

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The answer would be

the social contract between people and government

Mesopotamia was located between the Tigris and __________ Rivers.
A. indus
B. ganges
C. danube
D. euphrates

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Answer:

d

Explanation:

it is located in between the Tigris and Euphrates river. Learned a while back in history but I know its right.

Hope it helps!

Answer:

EUPHRATES

Explanation:

What three wars did more than 100,000 Americans die?​

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Answer:

Civil,world war and World War II

Explanation:

Which statement Describes a common belief of philosophers Thomas Hobbes,John Locke and jean-Jacques Rousseau

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Answer:

Explanation:

Base your answer to the question on the speakers' statements below and on your knowledge of ... This quotation reflects beliefs mainly derived from ... Jean-Jacques Rousseau and John Locke both agreed that a government should be based on the ... Many Enlightenment philosophers used reason to ... Thomas Hobbes 4.

In your opinion, what do you think was the most significant event that happened during the Cold War? Specifically, which event had the biggest impact on American society politics and society as a whole?

Answers

Answer:

idk I think the political maybe gooduck

During the Cold War, the Berlin Wall became a powerful symbol of the Iron Curtain, the ideological and physical divide that separated the democratic West from the communist East. Cold War, the open but limited rivalry that developed between the United States and the Soviet Union, as well as their respective allies, following World War II.

What is the Cold War short summary?

The Cold War was a long period of conflict between Western democracies and communist Eastern European countries. The West was led by the United States, while Eastern Europe was led by the Soviet Union. These two countries rose to the status of superpowers.

Historians have identified several causes for the outbreak of the Cold War, including tensions between the two countries at the end of World War II, ideological conflict between the US and the Soviet Union, the emergence of nuclear weapons, and American fear of communism.

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When a problem arises with the Navajo nation, whose territory crosses state boundaries, who would help?


[] the states that make up the Navajo nation.

[] the members of nearby American Indian tribes.

[] the Arizona commission of Indian affairs.

[] the federal bureau of Indian affairs.

Answers

Answer:

When a problem arises with the Navajo nation, whose territory crosses state boundaries, the Federal Bureau of Indian Affairs would help.

The Bureau of Indian Affairs is a federal government agency charged with managing the native territories and the resources that are granted to these groups, whose main officer is Bryan C. RIce. It is an organism dependent on the Department of the Interior, and is in charge of procuring through the administration of the territory and the resources the well-being of the natives lodged in lands granted by the federal government. Therefore, in the event of structural problems that transcend the Navajo Nation's sphere of influence, this agency would be the first to act.

Answer:

d

Explanation:

im doing the quiz right now so sorry if I am wrong

Consider the major inventions of the late 19th and early 20th century. List at least two inventions and discuss their effects on life at the time

Answers

Electricity, Microsoft

Explanation:

This are two major impact on the human existence, when electricity was invented many people died trying to know how it works until Benjamin Franklin saw how to partially use it. and this has made our world a sparkling place at might. with the Microsoft Bill Gates was able to invent it and with that we are able to access the computer to the fullest extent and this has brought us all to be able to learn on this app

Answer:

1897 the Aspirin

Explanation:

The effects of Aspirin like mixtures had been known for centuries now. It has changed the course of medical history as we know it . In 1897 Felix Hoffmann, a German chemist  was searching for medicine to relieve his father and then he created the acetysalicylic acid commonly known as aspirin.

How to make someone brainliest

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Answer:

Two people have to answer before you can make someone the brainliest

Answer:tbh idk

Explanation:

__________ is an example of rule of man.

Answers

Answer:

A king making laws for his citizen to follow us an example of rule of man.

What are four main crops in the Midwest

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Corn soybeans and Oats

Where were most civil war battles fought

Answers

From southern Pennsylvania to Texas from New Mexico to the Florida coast. Majority took place in Virginia and Tennessee

Answer:

A report by the Civil War Sites Advisory Commission recognized 384 conflicts (out of some 10,500) as "principal battles" of the American Civil War. These 384 principal battles occurred in 26 U.S. states with Virginia (123), Tennessee (38), Missouri (29), and Georgia(28) leading the way.

how does this poster play on a parents emotions?check all that apply

Answers

Question:

How does this poster play on a parent's emotions?

Check all that apply.

A) The text details the number of children affected by the flu each year.

B) The text uses “me” to encourage parents to think of their own children.

C) The image on the poster is of a child who looks worried.

D) The text indicates that flu complications can lead to death.

E) The text describes how flu can affect a child’s life.

Answer:

The correct options are:

B, C, D and E

Explanation:

There is no statistics on the flierthe text states that though it is rare, Flu complications can lead to death;According to the flier, flu can affect children by making them miss school or even getting them hospitalized.

Cheers!

Answer:

2,3,4,5

Explanation:

did the test

which political action would be unacceptable John Locke

Answers

Answer:

An example of an unacceptable political action would be A king forces farmers to send him most of their crops to be distributed among wealthy nobles.

Explanation:

Because farmers would be denied the fruits of their labor and the government would not be granting them their individual rights.

Answer:

A king forces farmers to send him most of their crops to be distributed among wealthy nobles

Explanation:

A P E X

Review the influence of Western culture in China, noting that this report first aired in February 2012. In a half-page essay, discuss how the Chinese people are dealing with the influence of Western culture. Consider and respond to the following questions: How has China reacted to the influence of Western culture? How do the Chinese people view Western culture compared to how the Chinese government views it? Has China completely rejected or accepted Western culture? Or is the reality somewhere in between? Also, how do you think China is likely to handle Western culture in the future, in terms of rejecting or accepting the foreign influences?

Answers

Answer:

Western influence in China affected the Chinese economy in three ways: Westerners introduced modern transportation and communications, created an export market, and integrated the Chinese market into the nineteenth century world economy. ... First changes in traditional culture came in the late nineteenth century.

Explanation:

HELLO! WHO CAN PLEASE HELP ME WRITE A RESEARCH PAPER FOR MY AMERICAN GOVERNMENT CLASS? I'll provide all the information as to what has to be done If you can help me. Thanks :)

Answers

Answer:

Sure

Explanation:

yeah

Materials used to build the Central Pacific Railroad were shipped
O O O O
across North America.
from west to east.
around South America.
Ofrom north to south.

Answers

Answer:

its C

Explanation:

just took the test 2020

Materials used to build the Central Pacific Railroad were shipped  around South America. The appropriate  response is Option C.

What is Central Pacific Railroad ?

The Central Pacific Railroad was a rail company chartered by the United States Congress in 1862 to build a railroad eastward from Sacramento, California, to complete the western portion of North America's "First Transcontinental Railroad."

The railroad boosted commerce by making shipping easier and less expensive. Because buffalo herds were destroyed for commercial markets as a result of the railroads, American Indians' way of life changed.

The track, rails, switches, and other items were transported from remote locations to construction depots and then carried to the end of the track. Along with the main line, sidings and station tracks were built.

Hence, The appropriate response is option C.

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What technology and knowledge did the Spanish need to get to Tenochtitlan?

Answers

Answer:

Battle of Otumba

Before reaching Tlaxcala, the scanty Spanish forces arrived at the plain of Otumba Valley (Otompan), where they were met by a vast Aztec army intent on their destruction. The Aztecs intended to cut short the Spanish retreat from Tenochtitlan and annihilate them.

Explanation:

The Spanish were able to conquer Tenochtitlan because they possessed superior technology in weaponry such as gunpowder and steel.

The Battle Of Tenochtitlan

   The Battle of Tenochtitlan was a conflict involving the Spanish and a coalition of local combatants against the Aztecs in a bid to capture the Aztec city of Tenochtitlan.

   The Spanish were able to capture this city owing to their superior technology in the manufacture of weapons and also in steel.

  The Spanish used a lot of gunpowder to overpower the Aztecs and they also had the advantage of the Small Pox outbreak.

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In this lesson, you'll learn about the causes and effects of imperialism in the 1800s. One region subject to Western imperialism was Africa. which continent on this map is Africa?​

This is a Plato question btw

Answers

red would be Africa

Answer:

Red

Explanation:




In the late 1800s, the French Empire
a) spread throughout most of Europe.
b) took over North America.
c) conquered parts of southern Asia.
d) moved into Asia and South America.

Answers

Answer: conquered parts of Southern Asia

Explanation:

Hope this helps

Answer:

c

Explanation:

A strength of this type of economy is its ability to rapidly change in a short period of time
a Traditional
b Command
c Market

Answers

Traditional economy

What is the tone of the author toward the patrons of the Stonewall Inn? Cite at least one example to support your answer.

Answers

Answer:

The tone of the author toward the patrons to the Stonewall Inn is humorous, mocking and tinged with sarcasm.

In the first paragraph he described one of the patrons as, "She was a he." In one paragraph he wrote that, "Then, without warning, Queen Power exploded with all the fury of a gay atomic bomb. Queens, princesses and ladies-in-waiting began hurling anything they could get their polished, manicured hands on. Bobby pins, compacts, curlers, lipstick tubes and other femme fatale missiles were flying in the direction of the cops. The war was on. The lilies of the valley had become carnivorous jungle plants." Its as if the author is against the patrons.

Explanation:

The Stonewall riots were a series of violent raids by the police on a homosexual bar. This particular article was written by Jerry Lisker for the New York Daily News in 1966.

The author of the article used a mocking and sarcastic tone in narrating the events, even the title of the article, "Homo Nest Raided, Queen Bees are Stinging Mad" clearly shows the author's mindset about the patron.

He consistently and deliberately uses male pronouns in describing the patrons and then corrects himself to female pronouns afterwards, and he called them "little girls" to show what he thinks of them no matter who they say the are.

In one place a patron even told him "I don't like your paper, its anti-us and pro-cop.", and he didn't correct her.

Answer:

Mayer reported one person's statement that it was the police who destroyed property in the Stonewall Inn. He also reported another man's theory that the police were raiding the bar because the owner hadn't paid their monthly bribe. Finally, he ended his article with a description of gay men taunting the police. All of these things suggest that he was not sympathetic to the police. Mayer also reported that the men of Christopher Street were normally peaceful and law abiding. He reported several statements that they made on June 28, which suggest that he was comfortable talking to them. He was interested in presenting their perspective. These details suggest that he was respectful toward the Stonewall Inn rioters and wanted to understand their actions from their point of view.

Explanation:

I took the test on Plato

How do the laws we read connect government and religion?

Answers

Answer:

The First Amendment to the U.S. Constitution states that “Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.”

Explanation:

this law protects freedom of religion, saying that the goverment will protect and help people who are being opressed because of what they believe

Who was the first woman to ever be appointed a Supreme Court justice?

Answers

Answer:

Sandra Day O'Connor

Explanation:

Ronald Reagan called Sandra Day O'Connor, the first female judge of the U.S. Supreme Court, in 1981. She was sworn in on September 25, 1981, retired in 2006.

hope this helped!

How does “equality before the law, innocent until proven guilty, trial by a jury of your peers” have roots in ancient cultures and religion like Christian, Greek and Roman governments. Plz help I’ll give 40 points!!

Answers

I’m the sense of Christianity going back to biblical times if you were caught in robbery or treason you were nailed to a cross or killed in general. When we look back on that today they used guilty until proven innocent. This gave an reason for people to believe you were guilty. Now we use innocent until proven guilty because you have a better chance of the the jury to prove that you aren’t guilty rather than going in as guilty and having to prove incriminating details that may swing the jury to believing you’re guilty such laws are placed like I plead the 5th meaning you aren’t incriminating yourself. Trial by peers was also used and is how Jesus died because the crowd decided instead of a thief he should die.

A man can have good conduct and still not be A.loyal B.filial C.independent D.religous

Answers

I think the answer is A.loyal.

Answer:

It's D

Explanation:

i got it right on my quiz :)

How did revolutionaries in 18th century France participate in changing their government

Answers

Answer:

An angry mob violently attacked and looted the state prison.

Explanation:

French revolutionaries in the 18th century engaged in changing the ancien regime as they were facing a widespread famine and influenced by the intellectual like Voltaire and so on. The middle-class people were responsible for awakening the revolution and abolishing the monarchy in France. The revolution began after Parisians stormed the Bastille, a prison that held political convicts imprisoned by Louis XVI.

how did social factors affect economic and political systems

Answers

Answer:  - In general, economic develop increases the standard of living in a country. Political factors influence economic development by positively or negatively influencing the process of development. Some important political factors include: Regime type, which is the form of government operating in a country.

Explanation:

What does the scene above depict? a. a volunteer army that had halted the Prussian invasion in 1792-1793 b. a scene from the French Revolution c. the revolt to overthrow the monarchial line after Napoleon

Answers

Answer:

Option C

Explanation:

The scene depict the revolt to overthrow the monarchical line after Napoleon.

During the French Revolution (1789–1799), King Louis XVI of the House of Bourbon was overthrown and executed which paved way for Napoleon as ruler of France. However,after Napoleon's abdication, the monarchy was restored with the Bourbons in power again. King Louis XVIII ascended the throne in the Bourbon Restoration of the monarchy and ruled as a constitutional monarchy.

A revolt started to overthrow the monarchical line after Napoleon escaped from his exile and which briefly restored Napoleon French Empire in his Hundred Days campaign.

Answer:

The correct answer is C (EDGE approved)

Explanation:

What is the greatest Christian feast
A. Christmas
B. Easter
C. We all sunday

Answers

The answer is B I hoped this helped
I agree as well the answer is b
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