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

What are the characteristics of a semi-periphery country?

Answers

Answer: They are mostly the countries that get a lot of trade imported and exports their owns, like India.

Explanation:

Semi-peripheral countries contribute to the manufacturing and exportation of a variety of goods. They are marked by above average land mass, as exemplified by Argentina, China, India, Brazil, Mexico, Indonesia, and Iran. More land mass typically means an increased market size and share.

Describe an example of necessity brings about technological change?

Answers

Answer:

The structure of buildings and temples were built many years ago, you see places like Washington DC replicate the same types of structure in their buildings the art of it is beautiful and well liked.

Explanation:

A lack of skilled workers is an example of
a. a problem in developing nations in Southeast
c.Asia
b. a problem that has recently been solved in d.
Southeast Asia
the reason industry has grown rapidly in
Southeast Asia
none of the above

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Answer: A

Explanation:

What type of map includes information about bodies of water, mountains and valleys, and vegetation and climate?
political
thematic
physical
O choropleth

Answers

Answer: physical map

Answer:

Physical map!

Explanation:

Physical maps are most commonly used to show and inform of bodies of water, mountains and valleys, and vegetation and climate

Hope it helps! :D

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 :))

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

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.

Why is the main channel of river longer and wider that the channels of its tributaries ?

Answers

Answer:

Because its closer to the ocean

Explanation:

The river gets narrower and narrower The further from the ocean it is

Hope i helped :D

The guanaco, seen in the image above, lives in Latin America’s __________ ecosystem.
A.
desert
B.
rainforest
C.
deciduous forest
D.
coniferous forest

Answers

Answer:

The correct answer is C. The guanaco lives in Latin America's deciduous forest ecosystem.

Explanation:

Guanacos are a species of camel native to the South American region, especially the Andes area from Peru to Chile and Argentina. Its habitat is the high altitude areas around the Andean mountains, and especially the forests located in the valleys of these mountains, characterized by their dry climate and low-lying vegetation.

Answer:

yuo ist ts c

c ies anwr

<:

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:

Which of the following does NOT belong with the others?
valley glaciers
piedmont glaciers
alpine glaciers
cirque glaciers
outlet glaciers

Answers

Answer: Outlet glaciers

Explanation:

Outlet glaciers fall under the Ice Sheet classification of glaciers whilst the rest listed above fall under the Alpine Glacier classification.

Outlet glaciers derive their name from their characteristic of flowing out of glaciers like ice sheets and ice caps.

The difference between Ice sheets and Alpine glaciers is that the former smoothens the terrain while the latter steepens it.

P(0, 2); m=3
Please answer

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Answer:

sjdskajdakjdkl123456787991122343434

Explanation:

Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?

Answers

Answer:

(4,6)

Explanation

6(2/3)=4

9(2/)3=6

Answer:

Im not sure but I think there right

Explanation:

1. Which country of South-East Asia made rapid economic growth?
(a) India (W) China (c) Nepal (d) Pakistan​

Answers

Answer:

a

Explanation:

11. If you could repeat the experiment and make it better, what would you do differently and why?
answer quickly please i just need an answer to put down thats scientific

Answers

Answer:

no.because it would not make the experiment better.

Explanation:

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.

Learn more about Convection current here:

https://brainly.com/question/9739063

#SPJ2

TIME REMAINING
48:49
Vhich is the best example of how symbols are used to help us understand maps?
The lines of latitude and longitude show where a location is in the world.
An indicator shows if the top of the map is north
An image of a man and woman may represent the location of the restrooms
The title of the map tells what is being shown.

Answers

An indicator shows if the top of the map is north.

from quizlet.

Answer:

An image of a man and woman may represent the location of the restrooms

Explanation:

Number the groups into order of importance in ancient Sumerian society - from most to least important.
Slaves
Traders
Kings
Priests
farmers

Answers

Kings
Priests
Traders
Farmers
Slaves

I’m not sure about this but I logically figured it out

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

the egyptians used hieroglyphics in the same ways as the sumerians used

Answers

Answer:

3

Explanation:

Describe planet Jupiter in at least 5 sentences being as specific as possible
No copying

Answers

Answer:

Jupiter is a large gas planet. It is filled with storms and has an eye on the side of it. It's also the largest planet in the solar system. It's called a gas planet because of the gas in the atmosphere. If it were at least 80 percent bigger it would have been known as a star.

Explanation:

Hope this helps!^ ^

They work in the following country or countries​

Answers

Answer:

government

Explanation:

government is always there in any country

The government works in each and every country or nation.

What is a government?

The government is a form of system that forms social control in an organized society and consists of the legislative, executive, and judiciary forms Have a mechanism of determining policy and work in more than 200 independent nations of the world. The role is public and includes the democracy monarchy, oligarchy, aristocracy etc.

Find out more information about the country.

brainly.com/question/324911

What is the nearest star to earth?

Answers

Answer:the sun

Explanation:

second option the sun

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.

match the term in the column 1 the definition in the column 2

column 1 -
caliph
zionism
aliyah
diaspora

column 2 -
successor to muhammad
the movement to establish a jewish state
a group that is scattered outside it traditional homeland
immigrations of jews to the holy land

Answers

Answer:

caliph - successor to Muhammad

Zionism  - the movement to establish a Jewish state

Aliyah -  immigrations of Jews to the holy land

diaspora - a group that is scattered outside it traditional homeland

Explanation:

After Muhammed died he was succeeded by Abu Bakr, the first of the caliphs. Because of internal conflicts, from 661 new Caliphate - Umayyad was  established, although Abbasid Caliphate made even larger impact.

Jewish diaspora was created after the exile of Jews, from their homeland, most notably during the Babylonian captivity. They were scattered across the globe, but with the rise of Zionism movement in the second half of 19th Century, idea to return Jews to their homeland started spreading. Aliyah happened once more, as in the times of Abraham and Moses.

The moon's orbit around the Earth will advance in one day:


27°

29°



13°

Explain:

Answers

Answer:

the answer is 13 degrees

Explanation:

_______separates the layered gases in the thermosphere by their _______

Options: Density,mass,size,gravity

Answers

Answer:

Density ,gravity

Explanation:

Gravity separates the layered gases in the thermos sphere by their density

Answer:

Gravity and density.

Explanation:

gravity separates the layered gases in the thermosphere by their density.

Relocation diffusion means that characteristics of a culture

a
transcend a physical barrier

b
are dictated by high government officials to lesser government units

c
move outward from a central point

d
spread along a major transportation line

e
are accepted by an immigrant

Answers

for the answer i got b

SOMEBODY ONCE TOLD ME THE WORLD WAS GONNA ROLL ME
I AIN'T THE SHARPEST TOOL IN THE SHED~
SHE WAS LOOKING KINDA DUM WITH HER FINGER AND HER THUMB
IN THE SHAPE OF AN "L" ON HER FOREHEAD~
WELL THE YEARS START COMING AND THEY DON'T STOP COMING
FED TO THE RULES AND I HIT THE GROUND RUNNING
DIDN'T MAKE SENSE NOT TO LIVE FOR FUN
YOUR BRAIN GETS SMART BUT YOUR HEAD GETS DUM
SO MUCH TO DO, SO MUCH TO SEE--
SO WHATS WRONG WITH TAKING THE BACKSTREETS?
YOU'LL NEVER KNOW IF YOU DON'T GO
YOU'LL NEVER SHINE IF YOU DON'T GLOW.

Answers

Lol, that is a wise person.

Which latitude zone is Reykjavik located in?

Answers

it is located in southwestern iceland, one the southern shore of faxafloibay. its latitude is 64 08' N, making it the world's northernmost capital of a sovereign state.

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