If the vertex of image Q’ is located at the coordinates (16,8) was dilated by the scale factor of 2, what was the coordinates for the pre-image Q?

Answers

Answer 1

Answer:

The pre-image Q is [tex]Q(x,y) =(8,4)[/tex] .

Explanation:

From Linear Algebra, we can define dilation by the following expression:

[tex]Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Reference point, dimensionless.

[tex]Q(x,y)[/tex] - Original point, dimensionless.

[tex]Q'(x,y)[/tex] - Dilated point, dimensionless.

[tex]k[/tex] - Dilation factor, dimensionless.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]Q'(x,y) = (16,8)[/tex] and [tex]k = 2[/tex], then the original point is:

[tex]Q'(x,y)-O(x,y) = k\cdot [Q(x,y)-O(x,y)][/tex]

[tex]Q(x,y) = O(x,y) +\frac{1}{k}\cdot [Q'(x,y)-O(x,y)][/tex]

[tex]Q(x,y) =(0,0)+\frac{1}{2}\cdot [(16,8)-(0,0)][/tex]

[tex]Q(x,y) =(8,4)[/tex]

The pre-image Q is [tex]Q(x,y) =(8,4)[/tex] .


Related Questions

Will give brainliest

In 2014, Russia occupied and subsequently annexed this portion of the
Ukraine with relatively no resistance?*l

A. Italian Peninsula
B. Armenian Peninsula
C. Crimean Peninsula
D. Balkan Peninsula

Answers

Answer:

the answer is Crimean peninsula

Answer:

Crimean Peninsula in Ukraine  

Explanation:

Russian Expansion and Political Interference

After the Cold War ended, the United States and its European allies began to view Russia as less of a security concern. Instead, they looked for ways to cooperate politically and economically with the former adversary. This period of relative peace was broken in 2014 when Russian military forces moved into and occupied several eastern Ukrainian provinces and the region of Crimea. Russia has taken on a more aggressive role in the world, largely under the leadership of Vladimir Putin.

Putin, a former KGB foreign intelligence officer, rose to power and became prime minister and president of Russia. Putin has used his power to increase Russia's economy and has sought to regain the former glory and power of the Soviet Union. The standard of living has risen under his regime, and he is thought to be widely popular. However, there's also a question as to how reliable Russian elections and favorability ratings are. Free speech continues to be limited in Russia, and protests are discouraged through increased fines and even prison time. Corruption has become more widespread, as well. Russia spends proportionately more on its military than the United States. Cyber-warfare and espionage form one of the nation's most effective means of attack. The FBI has confirmed that Russia was responsible for intervening in the US 2016 election. In 2020, President Putin ordered amendments to the Russian constitution that would allow him to remain in power past term limits until 2036, signaling that Putin's Russia will continue to be a force to resolve.

Describe the location of China relative to two regions.

Answers

Answer:

Central Asia and Eastern Asia

Explanation:

East Asia's China shares a border with several other nations and areas. China is located in East Asia and borders several nations in both East and Central Asia.

China's western border serves as a major identifier of its location about Central Asia. The western parts of China, particularly Xinjiang, and Tibet, have shared borders with several Central Asian nations.

China is located in East Asia and has a sizable landmass. Several nations in this region share their borders with it. The East China Sea and the Yellow Sea, which are to China's east, are what separate it from Japan and the Korean Peninsula.

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What types of pollution in the Great Lakes has human activity caused? Check all that apply.

1.industrial waste
2soil erosion
3.sewage disposal
4.runoff
5.air pollution

Answers

Answer:

1 Industrial waste we have factory's along our rivers that dumped chemicals into the rivers that now is in the great lakes

2 soil erosion over the past few years Soil has started to erode at the lake shores and making many homes cave in  

Explanation:

I live in Michigan so this should help you out

Answer:

was the guy on top's answer right?

Explanation:

Nations around the world put pressure on South Africa to end apartheid. What type of pressure was most effective?
A. encouraging civil war
B. rejecting South African immigrants
C. promising financial aid to black communities throughout South Africa
D. banning South African participation in international sports competitions

Answers

Answer:

D. banning South African participation in international sports competitions

Explanation:

White South African artists were effectively banned from touring the world and non-South Africans were ostracized for performing in South Africa. Perhaps the most influential initiative was the 'sports boycott', imposed initially because of the government's rigid adherence to apartheid in sport.

Answer:

D

Explanation:

HURRY IM BEING TIMED ILL AWARD BRAINLIEST FOR BEST ANSWER

Answers

Answer:

C. people who are believed to be the first people to settle in an area

Explanation:

This means that they came from a place, to a new place, and settled the land. The Pilgrims are an example of colonists.

~theLocoCoco

This layer of the Earth is hot,solid and made of iron what is it

Answers


inner core
The inner core is the deepest and hottest layer of the Earth. It is made almost entirely of metal—mostly iron and, while extremely hot (9,000-13,000 degrees Fahrenheit--or 5,000-7,000 C)

the answer is the the inner core :))

Just as climate has affected the settlement and agricultural activities of humans, likewise, humans have extensively modified the physical environment. Such modifications have been facilitated by globalization and urbanization. Human action such as the operation of industrial plants and power generating facilities has increased acid precipitation. Acid rain has the potential to damage forests, kill fish, and damage lakes. Excessive use of water is depleting ground water systems and creating water resource shortages.
1. Reset the map.
2. Select Water Resources Vulnerability. Select Acid Rain (U.S) and Split map window.
Compare the two maps and determine which statement is true.
A. Both acid rain and water resource vulnerability are extremely high for the Midwest.
B. Whereas the Southwest generally has extremely high water resource vulnerability, acid rain is a major issue on the East Coast.
C. Both acid rain and water resource vulnerability are extremely high for much of the East Coast.
D. Both acid rain and water resource vulnerability remain an issue for much of the Southwest
E. Whereas the East Coast generally has extremely high water resource vulnerability, acid rain is a major issue in the Southwest.

Answers

Just a patreob will make it come true

The statement which is true is that, "Whereas the Southwest region in U.S. generally has extremely high water resource vulnerability, acid rain is a major issue on the East Coast."

What do you mean by water resource vulnerability?

The water resource vulnerability is defined as the tendency of water resource systems to break down because of the external influences. Vulnerability of water resources includes two aspects- sensitivity and adaptability of water resource systems to external driving factors.

The water resource vulnerability includes vulnerability of water quality and quantity. Thus, because of the climate change and human activities, human society is facing water resources shortage, frequent natural calamities, and a series of problems which leads to the increase in the vulnerability of water resource systems.

What is acid rain?

Acid rain is a form of precipitation which is unusually acidic, with acidic components such as sulfuric or nitric acid which falls to the ground from the atmosphere in wet or dry forms. This includes- rain, hail, snow, fog, or even dust that is acidic.

Which part of the U.S. is most affected by water resource vulnerability?

The part of the United States which is most affected by water resource vulnerability is the Southwestern region of United States. This region stemmed mainly from consumptive uses whereas the vulnerability in watersheds of the southern US was due to changes in flooding, water quality issues, and other uses.

Which part of the U.S. is most affected by acid rain?

The region of the United States which is most affected and harmed by acid rain is the East Coast, including the Appalachian Mountains and the Northeast Some.

Thus, acid rain occurs naturally, but when sulfur dioxide and nitrogen oxide emissions from smokestacks combine with rain they tend to make sulfuric and nitric acid in amounts which harm the environment.

Hence, option B is correct.

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where can Recycling , Reuse and Reducing be found how is it acquired ? ( help please )

Answers

Answer:

Recycling, reuse and reducing can be done everywhere with required resources.

Here are some ways to Recycle, reuse and reduce :

Instead of using plastic bags, bring reusable bags when going shopping or packing food or leftovers.Buy second-hand.When going out, purchase items that are easy to recycle.

hope it helps!

Help!!
Which of the following events was NOT a cause of the Russian Revolution?

A. poor working conditions in cities

B. Czar Alexander II's limited reforming

C. government policy known as "Russification"

D. adoption of Marxism

Answers

Answer:

B   but don't be surprised if it is D.

Explanation:

Russification was a thorn in the side of the rulers. People do not like giving up their culture. It was a cause.

The cities were poor -- especially after the disaster they suffered in WWI. The nobility was not liked. That was a cause.

Czar Alexander may have been slow to reform, but he was not the main culprit. I think this is an answer you should consider carefully. (B)

I would use the adoption of Marxism. That was not made official until After Lenin came to power. The vocabulary was often used by the leaders, but most of the peasants didn't know it's meaning.

The answer is between B and D. I would pick D, but I think you are intended to answer B.

A block of ice has little thermal energy. If you place it in a warm room, it melts into warm liquid water, which has much
more energy. Where did the energy to turn the ice into water come from?
B
I
X
Font Sizes
A- A -
E 를 드
Characters used: 0/15000
Submit

Answers

Answer:

The Energy did not appear. The energy of the particles increased while the ice was melting. The warmer the object is, the more energy the object has.

How did the Spanish rule and come to an end?

Answers

Answer:

This was the time of the reign of King Philip II of Spain, whose name has remained attached to the country. The Spanish colonial period ended with the Philippine Revolution and Spanish-American War in 1898, which marked the beginning of the American colonialization of the Philippines.

Answer:

At the end of the century most of the remaining Spanish Empire ( Cuba, Philippines, Puerto Rico and Guam ) was lost in the Spanish American War in 1898.

P.S:

remember me?? We are friends.. haven't talked in a while

( hope this helps )

Baramulla(a city in Jammu and Kashmir) population in 2015

Answers

Answer:

97, 839 is your answer for population in Baramulla

The types of currents shown here are called ______ currents

Answers

Answer:

Looks like Tectonic

Explanation:

Hope this helps

The types  of currents shown here are called the Convection currents.

What are the Convection currents?

The convection is a process of heat transfer by the movement of fluids (gas or liquid) between regions of various temperatures. If convection occurs naturally it is called natural convection or free convection. If convection  is forced to occur, say, if fluid is circulated using a pump r a fan, it is called forced convection.

Convection currents are generated by the differences in densities of the fluid that occur due to the temperature gradients. The  activity that results from the continuous replacement of the heated fluid in the area of the heat source by the nearby present cooler fluid is called a natural convection current.

The convection current cannot take place in solids.

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In geographical terms, how can the land of Greece be classified? Group of answer
choices
peninsula
island
isthmus continent

Answers

Answer:

peninsula

Explanation:

Geographically speaking, the land of Greece can be classified as a "peninsula" because it is surrounded by water on three sides. These bodies of water are the Aegean Sea, Mediterranean Sea and Ionian Sea. Such situation allowed the ancient Greeks to be skillful in sailing. It is said to be of similar size to that of "Louisiana" and is covered mostly by many mountains.

define terminal in transport​

Answers

Answer:

A terminal is an area or location which serves as a pathway for handling transport process (loading and/or unloading cargo) or it can also act as a transfer point for passengers. Any of the place where goods are loaded or unloaded onboard a vessel/vehicle for transport is referred to as a terminal.

Explanation:

answer provided from saloodo . com

Which climate can be found in northern Canada ?
O
Desert
O Subarctic
Subtropical
tropical

Answers

The answer would be subarctic

PLEASE HELP ME ANSWER THIS!

What are the similarities and differences between the activities of early settlers and those of later settlers?

Answers

Answer:

If you are talking about settlers who went to America...

The first settlers came to escape religious persecution (the pilgrims), and eventually they also got tired of British rule so they wanted to separate from Britain. Later settlers came because they wanted to seek freedom in the new world that they didn't receive in their own old homeland.

(Btw, I typed this as my sister blasted the Star Spangled banner for no reason lol)

Hope this helps! Sorry if it doesn't.

At which point is ocean water the warmest?

Answers

Answer:

Where you pee, jes kiddin its about -2° to 30° C (28-86° F)

Explanation:

the surface layers of the sea are warmest (> 20 degrees), and the temperature decreases with depth (to < 5 degrees)

The minimum temperature (at the sea bottom) is between -1 and -2 degrees.

Whoever answers this numbers 1-7 gets brainliest

Answers

Hiieidjfjjfjfjfkororlepperjf

what is solar system​

Answers

The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly.
The person above me is 100% correct
The planet’s in the solar system if you need to know goes in this order:
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune

The Russian region that slopes upward from the coast and has many streams, forests, and mountain ranges is known as the __________.
A.
Ural Mountains
B.
Western Siberian Plain
C.
Central Siberian Plateau
D.
Eastern Siberian Highlands

Please select the best answer from the choices provided
A
B
C
D

Answers

Answer:A

Explanation:

Sort the five layers of the atmosphere with the highest level first.

troposphere
mesosphere
stratosphere
thermosphere
ionosphere

Answers

Answer:

exosphrere

thermosphere

mesosphere

stratosphere

troposphere

Answer:

ionosphere

thermosphere

mesosphere

stratosphere

troposphere

Explanation:

i hade this question

STORM AIREA 51 SEE them alions lolz means DON'T DO IT

Answers

Answer:

Kk

Explanation:

answer asap
thanks
Horticulturists live near their crops to give them:

protection
fertilizer
water
magic

Answers

The correct answer is protection.

Answer:

a) protection

Hope it will help you.......

Not all areas on Earth's surface receive the same amount of radiation because Earth's surface a. is flat has continents on it b. is curved d. is mostly water Please select the best answer from the choices provided C С D​

Answers

Answer:

Earth's surface receives different amounts of solar radiation because it is curved.

Explanation:

Earth, like all planets, is curved, or rather it has a round shape. More specifically, Earth has a generalized elliptic shape, though if we go into detail then it is a geoide. Such a shape means that not all parts of the planet can get the same amounts of solar radiation because of the different angles at which the sunlight falls on the surface.

The areas that are located around the equator are the ones that receive solar radiation at direct or close to direct angle throughout all of the year. This is results in a large concentration of the rays and the surface hits up. On the other hand, around the poles, the solar radiation that is received comes at very low angles. This results in a wide dispersal of the rays so the surface doesn't heat up enough and that is why the temperatures are always low.

North Pole
1. Canada is located at a much higher latitude than Mexico. How does climate or
temperature change as latitude increases?

Answers

Answer:

Thanks for the question,

Due to the latitude and and distance from the equator the temperatures drop the further in a region,i.e. the equator because of the curvature of the world. In areas nearer to the poles, daylight has a larger space of atmosphere to experience and also the sun is at a lower angle within the sky.

In case of Canada and Mexico, Mexico lies near the equator and the sunlight directly hits the surface and therefore the climate and temperature in Mexico is constant and tropical. But, when we comes to Canada the latitudes increases and the temperature decreases due to the inconstant amount of sunlight. (Please check the attached Maps below which explains the latitude-temperature and latitude-climate effects)

Hope it helps!<3

Answer:

IS WITH EXPLANITION

Explanation:

latitude affects climate  due to the rays of the sun as Mexico is slightly in the Torrid zone and Canada is in the North temperate zone so it is colder than Mexico thus proving latitude increase can effect climate

On this map, the student services office is indicated by
a. A black square
b. A car symbol
c. An arrow
d. A person symbol

Answers

Answer:

A

Explanation:

Answer:
A) a black square

Explanation:
on the coding sheet it shows a black square.

Describe ways of reclaiming derelict land.

Answers

The simplest way of reclaiming
land involves simply filling the area with large amounts of heavy rock and/or cement.. then filling with clay and soil until the desired height is reached. Draining of submerged wetlands is often used to reclaim land for agricultural use.

Answer:

The simplest method of land reclamation involves simply filling the area with large amounts of heavy rock and/or cement, then filling with clay and soil until the desired height is reached. Draining of submerged wetlands is often used to reclaim land for agricultural use.

What is floral motif​

Answers

a motif is a design or pattern. floral motif is a type of pattern, popularized and created in the 13th century in sicily, italy

I need someone’s help I think I got it wrong I’ll give brainliest

Answers

Answer:

You are correct

Explanation:

I hope this helps but you aint wrong

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