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?
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] .
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
Answer:
c
Explanation:
Answer:
i think C
plz correct me if wrong
Explanation:
Anthropogenic (human-induced) changes in the Earth System Choose one: A. are decreasing as technology leads to more environmentally friendly practices. B. are responsible for natural contaminants such as soot, dust, and organic waste. C. include global warming, which is greatly enhanced by society's production of greenhouse gases. D. began as early as 20,000 years ago as humans began to modify ecosystems.
Answer:
C. include global warming, which is greatly enhanced by society's production of greenhouse gas
Explanation:
Human activities such as burning of fossil fuel, industrial waste has lead to the emission of greenhouses such as carbondioxide, carbon monoxide, methane, chlorofloro carbon accumulation of which in the atmosphere leads to global warming as a result of the depletion of the ozone layer and the direct impact of sun on the earth.
The depleted ozone layer has lead to the constant and high temperature
that is affecting the earth.
Green plant,trees are natural users of carbondioxide but deforestation of this trees has also reduce the use of carbondioxide making it abundant in the atmosphere.
Earth's first atmosphere was composed of mainly which of the following gases?
O hydrogen and helium
O carbon dioxide and oxygen
O nitrogen and oxygen
O carbon monoxide and ozone
Answer:
A
Explanation:
Hopefully this helps
Which of the following describes how scientists separate the chemical layers of the Earth?
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
Answer:
b : based on the atoms and molecules in each layer
Where are the most Inuit people the
Answer:
Inuit are an Indigenous people living primarily in Inuit Nunangat. The majority of our population lives in 51 communities spread across Inuit Nunangat, the Inuit homeland encompassing 35 percent of Canada's landmass and 50 percent of its coastline.
Explanation:
Which behaviors demonstrate good netiquette? Check all that apply identifying yourself in a post or e-mail O writing short, concise messages to others valuing others' opinions and cultures maintaining low noise levels keeping personal information private using smiley faces in important emails
Answer:
A, B, C, E
Explanation:
edge 20221
Answer:
ABCE is correct
Explanation:
Swear on life FOR EDGE 2021
How did our ocean formed??
How did our moon formed??
The ocean formed from the escape of water vapor and other gases from the molten rocks of the Earth to the atmosphere surrounding the cooling planet.
Moon formed during a collision between
the Earth and another small planet, about
the size of Mars. The debris from this
impact collected in an orbit around Earth to
form the Moon.
When the Northern Hemisphere is pointing towards the sun, what season is the
Southern Hemisphere?
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.
The intensity of the Sun's radiation is decreasing. B. Natural processes on the Earth cause carbon dioxide to cycle through limestone, coal, several chemical-weathering reactions, and the atmosphere. C. The climate on Venus is a "runaway icehouse," a positive feedback that perpetually keeps the planet cold. D. The two major factors determining the Earth's temperature are the Earth-Sun distance and the concentration of oxygen in the atmosphere.
Answer:
The true statement is option D. The two major factors determining the Earth's temperature are the Earth-Sun distance and the concentration of oxygen in the atmosphere.
Explanation:
The distance between the sun and the Earth is one of the factors that determines the temperature of the planet. The energy from the sun travels to the Earth, increasing the temperature.
The other fact that has a role in the Earth's temperature is the concentration of oxygen in the atmosphere. It can increase or decrease the temperature according to the amount of this. Oxigen contributes to the greenhouse effect, which helps to keep the temperature in a range that allows life to happen.
What are 3 similarities and differences of Belgium and Luxembourg.
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
Please select the word from the list that best fits the definition
reliant on one another
sickle
rubber
free port
interdependent
rice
Answer: Your answer is Singapore
How did the Spanish rule and come to an end?
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 )
If resources such as sunlight and wind are inexhaustible, why aren’t they used more extensively for energy in place of fossil fuels?
Answer: Because fossil fuel is cheaper.
Explanation:
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
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.
Canada's physical features and climate made it easy to link the country by road.
O A TRUE
OB.
FALSE
The answer is false.
13) What type of fold is shown in the picture below
f
A class is studying forests. They learn that a __________ rainforest is located around the equator, has constant precipitation, and is warm and humid throughout the year.
A)
temperate
B)
savanna
C)
deciduous
D)
tropical
E)
perennial
Answer:
D) tropical
Hope this helps.
Answer:
D) Tropical
Explanation:
Believe me
Explain the functions of Development Banks.
Explanation:
please mark me as brain list answer
Describe ways of reclaiming derelict land.
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.
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.
Sort the five layers of the atmosphere with the highest level first.
troposphere
mesosphere
stratosphere
thermosphere
ionosphere
Answer:
exosphrere
thermosphere
mesosphere
stratosphere
troposphere
Answer:
ionosphere
thermosphere
mesosphere
stratosphere
troposphere
Explanation:
i hade this question
In a business cycle, a contraction occurs when:
O A. aperiod of economic growth reaches its highest point.
B. the economy begins to show growth in key economic indicators.
O C. the economy slows down following a period of growth.
O D. a period of economic decline reaches its lowest point.
In a business cycle, a contraction occurs when the economy begins to show growth in key economic indicators. Thus, option (b) is correct.
At this point, the market is experiencing an excess of supply. Prices usually fall. All positive economic indices, such as revenue, output, wages, and so on, begin to collapse as a result. This stage of the business cycle is referred to as contraction or recession. An economic contraction is the downward slope of the business cycle towards a trough. In economics, contraction refers to a stage of the business cycle wherein the economy itself is in decline.
Therefore, option (b) is correct.
Learn more about on business cycle, here:
https://brainly.com/question/30167425
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How might the high use of natural resources by some countries affect the environment of other countries?
All of the following are TRUE about maps EXCEPT:
a. Maps are visual representations of a given area.
b. Map types are often combined to show different elements.
C. The size, distance, and shape on a map has to be perfect.
d. You can use the coordinates on a map to find absolute location.
Answer:
C
Explanation:
The North and South of maps can be distorted.
For example, greenland can appear much bigger on a map than it actually is, unless it is showed on a globe
What did Calcutta use to get water out of the city in the past? Why is that no longer effective?
plz, answer quick if I don't do this by 2:30 I can't go to a Christmas party :(
this is for 20 points
Answer:
According to the former chief environment officer of the state environment department, Calcutta is blessed ecologically because it has, “the Ganga flowing beside its western end, traditionally huge groundwater reserve and wide wetlands area in its eastern fringe which naturally treats its waste water and turns that as raw water for fishery and agriculture.” Despite these advantages the city is increasingly running into trouble.
Officially 15% of core Calcutta’s water come from groundwater sources and rest from surface water. With the entire city being supplied water through pipelines. In reality up to 25% to 30% of the water used in households is groundwater.
Despite having water connections, rich families living in newly constructed multi-story apartment blocks pump their own water. They say that they do not have much faith on the quality of water supplied by civic bodies. The situation is even worse in smaller cities within Calcutta Metropolitan Area where the access to surface water is much less.
As a consequence of this groundwater levels have plummeted in various parts of the city. The people of Calcutta had carried out a detailed assessment of groundwater status in the city some years back and found that there had been sharp decline especially in central to south Calcutta as well as along EM Bypass where most high-rises have come up in recent years. So what the people of Calcutta were doing wouldn't help now because they are running out of water faster than you can count.
Calcutta officially has about 17,000 stand posts (as water hydrants are referred to in the city), 12,000 hand tube wells and around 2,500 large tube wells mainly catering to multi-story buildings, but the actual figures are far higher. In the same vein, although officially commercial establishments and industries account for around one-fifth of the city’s water, the actual consumption is significantly higher.
Supplying drinking water has become a big business in and around Calcutta, especially in areas with unsafe groundwater. For example, Madhusudhankati is a small hamlet at the northern fringe of Calcutta Metropolitan Area where groundwater is contaminated with arsenic. In the village nearly 200 families pay ten rupees every day to buy 20 litres of safe drinking water provided by non-profit Sulabh International. Rates are much higher in other areas where private companies operate.
The drinking water supply also gets contaminated by leaking sewerage pipes. Industrial pollutants including heavy metals also leak into groundwater supplies. There was an effort from the state pollution control board to ensure that industries treat effluent before disposing it into the sewer line but they have to accept that virtually nothing has been done on the ground.
With all these problems, the city is running towards an imminent water crisis. There is a limit to supply of treated surface water if you do not introduce water charges and minimise water waste. With increasing demand the pressure will be more on groundwater, which in turn will further affect the quantity and quality of groundwater especially in context to continually decreasing water recharge due to increasing concretization, there is no doubt, despite traditionally having good water reserves Calcutta are entering into an era of water starvation in city
Explanation:
Answer the second sentence in question 4
Answer:
destructive forces
Explanation:
Answer:
The answer is destructive forces.
Explanation:
which is the big country
Explanation:
Russiahope it helpful ✌️✌️
An organism whose genotype is Tt is considered a
organism with the genotype tt is a
purebred, hybrid
hybrid, purebred
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
Answer:A
Explanation: