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

Which of these statements accurately describes the two churches shown here? A. The church on the right is Roman Catholic because it has pointed steeples rather than domed towers. B. The church on the left is Roman Catholic because it has domed towers rather than pointed steeples. C. Both churches are Roman Catholic because they both are painted in primary colors. D. Both churches are Roman Catholic because they both have tall towers and curving windows.

Answers

Answer: BBBBBBBBBBBBBBBBBBBBB

Explanation: A P E X

The statement that shows and describes the two churches shown in the picture correctly is the Church on the left is Roman Catholic because it has domed towers rather than pointed steeples.

What is a Roman Catholic Church?

The term "Roman Catholic Church" refers to a Christian denomination with a pope-headed hierarchy of priests and bishops, a Mass-centered liturgy, adoration of the Vir gin Mary and saints, clerical celibacy, and a body of dogma that includes transubstantiation and papal infallibility.

What are domed towers?

A ceiling or roof is typically formed by domed towers, which are hemispherical constructions that developed from the arch.

In the ancient Middle East, India, and the Mediterranean, domes first developed as solid mounds and in methods suitable only for the tiniest structures, such as round houses and graves.

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what are the differences between democracy in the west compared to the Democracy in Hong Kong

Answers

The democracy in Hong Kong is not as good as the democracy in the west. For example million of people in Hong Kong are protesting democratic deterioration and rights violations, amid increasing police brutality and other violence against them.

The Chinese recently announced an end to their one-child policy. How would Thomas Malthus react to China’s one-child policy?

Answers

Answer:

Malthus was very concerned about unchecked population growth.

Explanation:

As a matter of opinion, I think it would be safe to say that Thomas Malthus would be in favor of the one-child policy because it would be a limit to the exponential growth in population we have undergone since his time. He was worried about our rapid growth in population and not being able to sistaine resources. He famously proposed 2 ways to keep our population in check, by means of "moral restraint" which China's policy would fall under or by means of natural plagues, famine various disease and even warfare.



How can revolutionaries gain support for their movement?
a) by isolating segments of the population
b) by paying people to support their cause
c) by committing terrorist acts
d) by invoking the image of national heroes

Answers

Answer:

D

Explanation:

Often times revolutions can gain support by citing the images of national heroes.

Answer:

D) By invoking the image of national heroes.

Explanation:

Revolutionaries want to get the population to support their movement. They can do this by using symbols. For instance, revolutionaries can invoke the image of past national heroes. By linking the revolutionary cause with the efforts of national heroes, revolutionaries can win much support from the population.

Hope it helped!

Explain how the Cold War differed from prior wars.(19 points)

Answers

Answer:

Cold war was a war like never before. Cold War was mainly focused between the NATO and Warsaw countries. Some say it was a standoff of the 2 superpowers United States of America and the USSR( Union of Soviet Socialist Republics). The reason it was so special is because there wasn't any direct battles between the USSR and USA. THe closest they got to a war was when the Americans sent 15 Tanks to the Berlin wall and stayed there. The Dictator of the Soviet Union Michail Sergeevich Gorbachev was enraged at this and sent 24 soviet T-50s to the gate the Americans stood at. For 20 hours the whole world held their breath as the 2 superpowers flew their flags upon their tanks so close to each others the Operators of the tank battalions on each side could make out each others flags.

What relationship does the chart show between active military and employed workers? The number of active military increased as the number of employed workers decreased. The number of active military and employed workers decreased steadily. The number of active military and employed workers jumped at the same time. The number of active military decreased as the number of employed workers increased.

Answers

Answer:

The number of active military and employed workers jumped at the same time.

Explanation:

We can clearly infer from the chart that as the number of employed workers increased so does the active military participation. From the year 1916 to 1917 the number of employed workers increased from 40.1 million to 41.5 and for the same period, the number of active military members increased from 0.18 million to 0.84 million. The same pattern of progression can be inferred for the subsequent year that is from 1917 to 1918. Therefore from the data shown in the chart we can say that both variables jumped at the same time.

Answer:

The number of active military and employed workers jumped at the same time.

Explanation:

The wave of revolutions across Europe in 1848 is known as _________________.

Answers


The wave of revolutions across Europe in 1848 is known as the Springtime of Peoples.

Answer:

Known as the Springtime of the Peoples or the the Spring of Nations

Explanation:

They were widespread political upheavals

23 February 1848 – early 1849

Participants:

People of France, the German states, the Austrian Empire, the Kingdom of Hungary, the Italian states, Denmark, Wallachia, Poland, and others

Outcome:

Little political change, Significant social and cultural change

What were some provisions of the Dred Scott case? Check all that apply.


No black person, free or enslaved, could be a US citizen.

All black people were subject to becoming enslaved.

There could be no legal ban on slavery in the territories.

The territories could retain their popular sovereignty.

The Missouri Compromise was unconstitutional.

Answers

Answer:

1, 3, and 5.

1. No black person, free or enslaved, could be a US citizen.

2. All black people were subject to becoming enslaved.

3. There could be no legal ban on slavery in the territories.

4. The territories could retain their popular sovereignty.

5. The Missouri Compromise was unconstitutional.

Another name for the Allied powers in world war 1 was?

Answers

Answer:

they were also known as the Entente Powers because they began as an alliance between France, Britain, and Russia

Answer:

Axis powers?

Explanation:

How did most people believe the world/human existence was going to end

Answers

Answer:

Explanation:

People believe that the world/human existence was going to end because of this virus that going on. God is coming soon but we don't know when so God could come at any day, time, or year. Another thing why people believe that the world/human existence was going to end is because Black/Brown people are getting killed by SOME people. BTW BLACK LIFE MATTER! That why people believe that the world/human existence was going to end.

How did the Inca innovate to meet their needs?

Answers

Answer:

The Inca innovated in several ways because they inhabited the Andean Cordillera, a very steep chain of Mountains in South America.

For example, for cultivating crops in the steep mountains, the Inca developed terraces. These terrances were carved out in the mountain, and provided a small flat space where crops could be more easily cultivated.

how did industrial age inventors and innovators change the people lived?

Answers

Answer:

The Industrial Revolution (1750–1900) forever changed the way people in Europe and the United States lived and worked. These inventors and their creations were at the forefront of a new society.

WILL MARK BRAINLIESTTTTT
What did the results of the 1984 election tell about voters’ opinion of Reagan’s economic policies?
Voters opposed his policies.
Voters enjoyed the benefits of his policies.
Voters liked his willingness to change his policies.
Voters questioned the long-term effects of his policies.

Answers

The second one, I believe.

Hope this helps

Answer:

the second one is right

Explanation:

Which right listed in the English Bill of Rights is the basis for the Second Amendment to the
above?

Answers

Answer:

I believe it is a well regulated militia, being necessary to the security of a free state, the right of the people to keep and bear arms, shall not be a infringed

Explanation:

Which of the following took place in the aftermath of the War of 1812? Check any of the boxes that apply. The American economy grew slowly. Cities grew quickly. There were technological developments in the farming industry. The US built new canals and railroads.

Answers

Answer: B,C,D

Explanation:

Answer:

B, C, and D

Explanation:

i just took the test

Alexander Hamilton believed what type of economy, powerful in the North, would be most beneficial to the US?
A. Entertainment
B. Agriculture
C. Transportation
D. Industry​

Answers

The answer is D. Industry

How does the division of powers affect Americans today?​

Answers

Answer:

Federalism is a system of government in which power is divided between a national (federal) government and various state governments. In the United States, the U.S. Constitution gives certain powers to the federal government, other powers to the state governments, and yet other powers to both.

Explanation:

PLEASE HELP IM DESPRATE!

How did Lenin’s Bolshevik ideas differ from Marx’s

a.) Lenin believed that an all-powerful government was needed after the revolution

b.) Lenin believed that the workers should cooperate with the bourgeoisie for change.

c.) Lenin believed that workers must be in control in order to have a peaceful society.

d.) Lenin believed that every Russian should serve a required time of military service

Answers

Answer:

A

Explanation:

He did also believe in b and D but Marx also believed in that so A is the difference

The lost colony of ________ was destroyed by unknown causes.

Answers

It was destroyed by a new case is a mosque

Answer:

Roanoke

Explanation:

its the right answer just took it!!!

Which of the following is a true statement about the map?
A. The border between Washington and Oregon is a thin, black line this indicates a national boundary.

B. The border between lowa and Nebraska is a thin, blue line this indicates a natural river boundary.

C. The border between Mexico and Texas is a thick, black line; this indicates a state boundary.

D. The border between Canada and the United States is a thin, black line, this indicates a national boundary.

Answers

Answer:

The border between lowa and Nebraska is a thin, blue line this indicates a natural river boundary.

Explanation:

They are separated by the Missouri River.

Answer:

B. The border between lowa and Nebraska is a thin, blue line this indicates a natural river boundary.

Explanation:

They are separated by the Missouri River.

Hope This Helps! :D

Place each statement under the correct category.
Political instability
Middle Ages
The Renaissance
Education centered on religion
Religious teachings questioned
Beauty and wealth more important
Shift from religious to secular thought
Church most important political force
Classical ideas revived

Help

Answers

Answer:

Middle Ages

Church most important political force - The Church dominated the politics of the Middle Ages. The political power of the Catholic pope was impressive.

Education centered on religion - Very few people were educated during the Middle Ages, and those who did, got mainly a religious education.

Political instability - The Middle Ages was a very unstable period. Feudalism brought political fragmentation to the era.

The Renaissance

Classical ideas revived - The Renaissance is characterized by a renewed interest in classical ideas (the ideas from Ancient Greece and Rome)

Shift from religious to secular thought - The Renaissance marks a shift from the religious worldview that characterized the Middle Ages, to a more secular, humanistic view.

Beauty and wealth more important - The Renaissance put great emphasis on wealth and beauty. Renaissance architecture and art is an example of that.

Religious teachings questioned - As explained above, in the Renaissance, religion came to be questioned for the first time in over a thousand of years.

Explanation:

Answer:

Middle ages

Political instability

Education centered on religion

Church most important political force.

The Renaissance

Classical ideas revived.

Beauty and wealth more important.

Shift from religious to secular thought.

Religious teaching questions.

Got it correct on edge

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

The Preamble is the __________.

Answers

Answer:

The Preamble is the introduction to the Constitution

Explanation:

The Preamble is the introduction to the Constitution - or, in general, a preamble is an introduction to  something, a sort of a "foreword".

In the US constitution it names some guiding principles of the founding Fathers. 

Answer:The Preamble is the introduction to the Constitution (A) - or, in general, a preamble is an introduction to  something, a sort of a "foreword".

In the US constitution it names some guiding principles of the founding Fathers. 

Explanation:

None

the purpose of the petition sent to King George ||| by the First Continental Congress was to... A) declare the right to bear arms in pursuit of liberty. B) request that the king consider granting independence to the established colonies C) declare their right to approve laws passed by Parliament on behalf of the colonies D) request a place in parliament for colonial delegates.

Answers

Answer:

C) declare their right to approve laws passed by Parliament on behalf of the colonies

Explanation:

King George ||| was the King of Great Britain and Ireland. In the past monarchs were responsible for the making of rules and regulations to guide his empire. As time went on, Britain soon discovered the need to have a parliamentary system of government.

This led to the sending of the petitions to King George III declare their right to approve laws passed by Parliament on behalf of the colonies .

Which phrase best defines lalssez-fairs?

Answers

Answer:

I believe, it'll be anything that mentions freedom to trade without government interference

Answer:

a policy or attitude of letting things take their course, without interfering.

Explanation:

they get to do what they want as long as they don't break the laws

What did the Second Great Awakening inspire?
a. A return to Puritan ideals
b. A massive migration west
c. A political revolution
d. A social reform movement

pls help!! i'll give you the brainliest answer and a 5 star rating :)

Answers

Answer:

d. A social reform movement

Explanation:

the second great awakening led to a period of antebellum social reforms and an emphasis on salvation by institutions. it inspired religious movements, women's rights, abolition, education, and prison reform. the goal of the second great awakening was to encourage people to make their own decisions about the life they want to live. while the awakening did have other effects on society, the main thing it inspired was reform movements.

Answer:

A social reform movement

Explanation: They wanted a united community.

¿Por qué se dice que CARAL es considerada la civilización más antigua de América?

Answers

La respuesta correcta a esta pregunta abierta es la siguiente.

A pesar de que la pregunta no incluye opciones, podemos decir que CARAL es considerada la civilización más antigua de América porque los historiadores y arqueólogos han realizado estudios profundos en esa región del Perú, y concluyen que la civilización CARAL se desarrolló hace aproximadamente 5,000 años en Áspero, en la costa central de Perú. Se cree que esta civilización se caracterizaba por ser efectivos pescadores, lo cual lo utilizaron para sobrevivir en aquella época. En ese sitio arqueológico  de Áspero, se han encontrado 22 edificaciones o ruinas. Los arqueólogos creen que esta civilización estableció una red de comercio con otras tribus del Amazonas y tribus de los Andes.

What was the final result of the Civil War? Select one: a. The Union had to pay the South large amounts of money to rejoin. B. Both sides agreed to stop fighting and slavery would exist only in the South. C. The Confederacy lost and the Union was restored. D. The issue of slavery in the territories continued to be highly debated after the war was over.

Answers

Answer:

Explanation:

the confederacy lost and the union was restored.

im pretty sure this is the correct answer because the south surrendered to the north so yeah

Answer:

C.

Explanation:

Who was included in the Republican Party of 1854? Select four responses.

Answers

The Republican Party emerged in 1854 to combat the Kansas–Nebraska Act and the expansion of slavery into American territories. The early Republican Party consisted of African-Americans, northern white Protestants, businessmen, professionals, factory workers, and farmers.

Answer:

- abolitionists

- people opposed to the spread of slavery

- people against the Kansas-Nebraska Act

- people worried about the Dred Scott decision

Explanation:

Edg. Quiz

Consider the market for pens. Suppose that the number of students with an allergy to pencil erasers increases, causing more students to switch from pencils to pens in school. Moreover, the price of ink, an important input in pen production, has increased considerably.

Answers

Answer:

This is a situation where there is an inadequate increase in equilibrium quantities, which causes an ambiguous imbalance in equilibrium prices.

Explanation:

As seen in the question above, students stopped buying pencils, due to their allergy to rubbers, and started to buy pens. This causes a change in the balance between these two products, this change was not made by factors such as scarcity or better quality, but because of the students' allergy, which shows that the change in balance was made in an unequivocal manner.

However, there are many students who still buy the pencils, and the ink from the pens comes at a high price. This causes the change in the equilibrium price of these products to be ambiguous because demand and supply may fall or rise together, not allowing a forecast of price changes.

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