A circle has an area of approximately 78.5 square units. If the center of the circle is at (2,4). Which of the following points is on the circle?

(-6, 4)
(2, -1)
(-4, -4)
(2, -9)

Answers

Answer 1
The answer is (2, -1)

The area of the circle is:
A = r²π

We know
A = 78.5
π = 3.14

78.5 = r² * 3.14
r² = 78.5 : 3.15
r² = 25
r = √25 = 5


The standard form equation of a circle is:
(x - h)² + (y - k)² = r²

We have:
(2, 4)
⇒ h = 2 
    k = 4
r = 5

(x - h)² + (y - k)² = r²
(x - 2)² + (y - 4)² = 5²
(x - 2)² + (y - 4)² = 25

Now, let's substitute all choices:
(-6, 4):
(-6 - 2)² + (2 - 4)² = 25
(-8)² + (-2)² = 25
64 + 4 = 25
68 = 25
INCORRECT

(2, -1)
(2 - 2)² + (-1 -4)² = 25
0² + (-5)² = 25
0 + 25 = 25
25 = 25
CORRECT


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Which statement is true about the Declaration of Independence?

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B. Thomas Jefferson used Locke's ideas in writing the Declaration
Final answer:

Thomas Jefferson used the ideas of John Locke, a significant Enlightenment thinker, in writing the Declaration of Independence.

Explanation:

The correct answer to this question is B. Thomas Jefferson used Locke's ideas in writing the Declaration. John Locke was a prominent Enlightenment thinker, whose ideas influenced many including Thomas Jefferson. John Locke proclaimed the idea of natural rights, which includes life, liberty, and property. These rights are inherently owned by individuals and not granted by the government, which is a major theme in the Declaration of Independence. It's important to note that while Jefferson was heavily influenced by Locke, the Declaration is not an exact replication of Locke's ideas. Jefferson, along with the committee, adapted and modified these ideas to fit their needs and to justify the American Revolution.

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How does the earth’s tilt affect the seasons?
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B. when the earth is tilted closer to the sun, it is summer. 

Answer:

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Explanation:

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Which of the following statements about the 1994 genocide in Rwanda is most accurate?

A.
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B.
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C.
Tutsi and Hutu extremists killed each other in roughly equal numbers.
D.
The United Nations intervened before either the Hutus or the Tutsis managed to inflict serious casualties.

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Answer:

the answer is a just took the test lol

Explanation:

Hutu extremists were responsible for killing over one million Tutsi this statements about the 1994 genocide in Rwanda is most accurate.

Who were Hutu extremists?

Hutu Power is a racist and ethno supremacist ideology that asserts the ethnic superiority of Hutu, often in the context of being superior to Tutsi and Twa, and that therefore they are entitled to dominate and murder these two groups and other minorities.  The Hutu and the Tutsi adhere essentially to the same religious beliefs, which include forms of animism and (today) Christianity.

Therefore, (A) option is the correct answer.

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Answers

The answer is:  3 (three).
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During the Ice Age, ice sheets covered about 3 (three) times more land area than present day ice sheets.
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Answer:

The Answer is true.

Explanation:

Cayenne is where i was Born.

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Most of the water is absorbed by soil and plants and never reaches the water table.

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The answer is B. Bamboo was burnt by the Japanese Sumi-e artists to create charcoal that they used in their paintings/drawings. Charcoal is one of the oldest media used for drawing by artists and is still used today by some artists.

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Answer:

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Explanation:

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Answers

The answer is C) FRICTION!!

Build up of friction has been used to try to predict earthquakes.  Correct answer: C

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Answers

Answer:

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Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The east coast megalopolis faces serious problems because of water shortages.

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The correct answer is water shortages. I hope this helps! :)

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Answer:

the answer is C. Outer core

good luck!

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The options are missing-

Mantle

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Crust

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Help please
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false because scientist make a hypothesis, and some of them are not even correct, so they probably would round that year to another year. For example; I found this fossil and it looks like it is 1,000 <<<< this cannot even be true but it can be an inference or a hypothesis. Also, I must first figure out when it was born, and all these other stuff. So that's why scientists are not able to determine the relative age of rocks. I hope this helps!:) :D And please give this a THANKS :) :D and the BRAINIEST ANSWER/CROWN! :) :D

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Answers

Panama is an isthmus linking central and south america.
Final answer:

Panama is the country that is an isthmus linking Central and South America. This became the site for the Panama Canal, playing a major role in international trade and navigation.

Explanation:

The country that is an isthmus linking Central and South America is Panama. An isthmus is a narrow strip of land connecting two larger land areas. Panama, as such, connects North and Central America with South America, acting as a bridge between the two. This geographical feature played a key role in international trade and navigation as it became the site for the construction of the Panama Canal in the early 20th century, allowing for a more direct route for shipping between the Atlantic and Pacific Oceans. This activity has greatly influenced Panama's economy and its significance in global trade.

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hope this helps you

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The beauty of cleft chins depends on your personal preference. It is possible to repair a cleft chin as well as add one with chin surgery, also known as Mentoplasty.

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explain three regional resources that am individual can utilize when becoming tobacco free

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Regional resources that may be utilized in becoming tobacco-free include state phone anti-smoking/tobacco quitting services, Nicotine Anonymous, local community support groups, the county health department, and various anti-tobacco health or employee plans.

Answer:

Regional resources that may be utilized in becoming tobacco-free include state phone anti-smoking/tobacco quitting services, Nicotine Anonymous, local community support groups, the county health department, and various anti-tobacco health or employee plans.

just took the test

What is the most accurate representation of the earth?

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A globe would be the most accurate representation of the Earth.

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Answer: Guateque Campesino

Explanation: Every culture in this world has some particular events and modes of celebrations. People of Cuba in general and Cuban people living at countryside in particular celebrates this event together with friends and family mainly to celebrate the end of the harvest. Multiple music instruments are used to compose their specific music genre for this celebration.

Both warm air and warm water generally flow _____.

from the Equator to the poles
from high-pressure areas to low-pressure areas
from the poles toward the Equator
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The correct answer that would best complete the given statement above would be the first option. Both warm air and warm water generally flow from the Equator to the poles. The part of the Earth that is considered as the warmest is in the center or in the Equator. Hope this answers your question. Have a great day!

A from the Equator to the poles

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They are disappearing due to deforestation
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Hope this helps!

Approximately how many people died during the construction of the Panama Canal?

Answers

During the United States phase of the Panama Canal construction, approximately 5,600 workers died. Including the earlier French efforts, the total number of worker deaths is estimated to be over 25,600.

During the construction period under French management, it is estimated that over 20,000 workers died, primarily due to tropical diseases such as yellow fever and malaria, and challenging work conditions. When the United States took over the construction in 1904, they continued to face difficulties, albeit with significantly improved working conditions due to medical advances.

Nonetheless, an additional 5,600 workers lost their lives before the canal's completion in 1914. The construction of the Panama Canal is a significant event in history, showcasing both human engineering brilliance and the grave costs of such massive projects.

1. _____ rocks show different minerals or grains that have been segregated into layers or aligned nonrandomly.
A. Skarn
B. Contact
C. Foliated
D. Regional

2. Which of the following is a type of nonfoliated metamorphic rock?
A. slate
B. gneiss
C. phyllite
D. quartzite

3. What is the main factor that changes rocks during contact metamorphism?
A. heat
B. pressure
C. chemical environment

4. When shale undergoes metamorphism, it becomes _____.
A. slate
B. schist
C. gneiss
D. quartzite

Answers

Foliated rocks show different minerals or grains that have been segregated into layers or aligned nonrandomly. Quartzite is an example of a nonfoliated metaphoric rock. The main factor that changes rocks during contact metamorphism is both heat and pressure, but if had to choose one I would select pressure. When shale undergoes metamorphism it becomes slate!
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