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

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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.

How did the Spanish rule and come to an end?

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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 )

Describe ways of reclaiming derelict land.

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The simplest way of reclaiming
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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.

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
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for the answer i got b

Q is equidistant from the sides of LTSR Find the value of x. The diagram is not to scale.
T

3x +18)
(
24°

2.
012
014
024

Answers

Answer:

The correct answer is A.

Explanation:

hope this helps

The Earth's _______ retains the atmosphere from dissipating into space.
plz help
thx

Answers

Answer:

Earth's gravity

Explanation:

Earth’s gravity is strong enough to hold onto its atmosphere. 

Answer:

gravaity

Explanation:

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.

Solve for x 6x-23. 4x+9

Answers

Answer:

x=7/12

Explanation:

6x-23.4x+9 . means ×

so 6x-23.4x+9=6x-23×4x+9

=6x×4x-23+9=0

=24x-14=0

=24x/24=14/24

x=7/12

When the Northern Hemisphere is pointing towards the sun, what season is the
Southern Hemisphere?

Answers

Answer:

Winter

Explanation:

When the Northern Hemisphere is tilted toward the sun, latitudes between the equator and 90°N (the North Pole) are experiencing summer. At the same time, the Southern Hemisphere is tilted away from the sun and experiencing winter. You are welcome, it is because it is positioned close to the line of Earth's axis projected into space. As such, it is the only bright star whose position relative to a rotating Earth does not change.

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

5.8.5(A) All matter is made of atoms. Which drawing shows the correct relationships between the three basic parts of an atom?

Answers

Answer:

Cant answer

Explanation:

No picture is included

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.

What is it called when too much water moves into an area?
A. a landslide
B. flood
C. erosion
D. A mudslide

Worth 75 points!

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Answer:

Flood

Explanation: This is a flood

Which sea lies south of Europe?​

Answers

Answer:

Mediterranean Sea

The Mediterranean Sea is a sea connected to the Atlantic Ocean, surrounded by the Mediterranean Basin and almost completely enclosed by land: on the north by Western and Southern Europe and Anatolia, on the south by North Africa, and on the east by the Levant.

Explanation:

please mark me as brainliest thank you

Explanation:

the answer is Mediterranean sea

why are capital good industries are important for the development of country?​

Answers

Answer:

The capital goods industry has evolved over these years in terms of competitiveness by consolidating. Due to its strategic importance for the country, it is essential to encourage manufacturing of capital goods rather than import and enhance the value addition and technology transfer.

Explanation:

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.

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:

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.

Why weren't canoes used in the arctic region?
Air and water were too strong.
Air and water were too cold.
o Only one person ever went fishing.
o They were too heavy to lift.

Answers

Air and water were too strong
I think it’s A tbh I hope it’s right

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Group of answer choices

A Based on how the layers interact with each other

B Based on the atoms and molecules in each layer

C Based on the color of each layer

D Based on the size of each layer

Answers

Answer:

b : based on the atoms and molecules in each layer

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:

Nations around the world put pressure on South Africa to end apartheid. What type of pressure was most effective?
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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:

Please select the word from the list that best fits the definition
reliant on one another
sickle
rubber
free port
interdependent
rice

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Answer is: Independent

Answer: Your answer is Singapore

If resources such as sunlight and wind are inexhaustible, why aren’t they used more extensively for energy in place of fossil fuels?

Answers

Answer: Because fossil fuel is cheaper.

Explanation:

What are 3 similarities and differences of Belgium and Luxembourg.

Answers

Similarities:

Both are in europe

both are small

both are countries

Differences:

belgium is ALOT bigger than luxemburg

Belgium is the capital of the EU

Belguim is older than luxemburg

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

Answers

Answer: A

Explanation:

South Korea is located between which lines of
longitude?
O about 34 to 39 degrees north
O about 126 to 130 degrees east
O about 127 to 129 degrees west
O about 34 to 39 degrees south

Answers

It would be B because long. Is up and down so A and D are incorrect and C is incorrect because there is a tiny portion that goes over 129

Hope this helps

Have a great day/night

Which of the following is a characteristic shared by both Brazil and Mexico?
A.
A prime minister is the head of government.
B.
Corruption and high crime rates are a serious challenge.
C.
There is no freedom of religion or freedom of speech.
D.
Citizens first get the right to vote at age 21.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

c

Explanation:

Answer:

i think C

plz correct me if wrong

Explanation:

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:

HELP! I GIVE 13! What percent of the world’s oysters are found in Russia?

A. 20%
B. 60%
C. 90%

Answers

Answer:

i beleive the answer is b if wrong im so sry

Explanation:

The percent of the world’s oysters are found in Russia is about the 60%.

What are oysters?

Oyster is defined as the common term that is used to denote for a variety of salt-water bivalve shellfish family unit that hang in marine surroundings.

The structures of orientated species of the Oyster are to a great extent hardened, and some other Oyster are irregular in shape. Russia is mostly covering that, home to around 60% of the world's oysters.

Therefore, option B is correct.

To learn more about the oysters, refer to:

https://brainly.com/question/16495481

#SPJ2

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