The vertices of △XYZ are X(4, 5), Y(4, 13), and Z(8, 9). Find an equation of the circle circumscribed about △XYZ.


An equation is ???


NEEED HELPPP PLEASEEE

Answers

Answer 1

Answer:

The equation of the circle is (x - 4)² + (y - 9)² = 4²

Explanation:

The center radius form of the equation of the circle is (x - h)² + (y - k)² = r²

Therefore, given the coordinates of the vertices of the inscribed triangle, we have points on the circumference includes;

X(4, 5), Y(4, 13), Z(8, 9)

Hence, we have;

(4 - h)² + (5 - k)² = r² = h²- 8·h - 10·k + k² + 41..........(1)

(4 - h)² + (13 - k)² = r² = h² - 8·h + k² - 26·k +185.....(2)

(8 - h)² + (9 - k)² = r² = h² - 16·h -18·k + k² +145.........(3)

Subtracting equation (1) from (2), we have;

-(16·k -144) = 0

∴ 16 k = 144

k = 9

Subtracting equation (1) from (3), we have;

-(8·h + 8·k - 104) = 0

Which gives;

8·h + 8·k - 104 = 0, where k = 9 gives

8·h + 8×9 - 104 = 0

8·h - 32 = 0

h = 32/8 = 4

Plugging in the values of h and k in equation (3), we have;

(8 - 4)² + (9 - 9)² = r²

4² = r²

∴ r = 4

The equation of the circle is (x - 4)² + (y - 9)² = 4².


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Explanation:

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PLZ HURRY!!!! Analyze the map below and answer the question that follows.

A satellite map of South America. Bodies of water on the map are labeled 1 to 7. 1 is a lake in Venezuela. 2 is a river in Venezuela. 3 is a river that extends from Eastern Brazil to Colombia. 4 is a lake between Peru and Bolivia. 5 is a river in Southern Brazil. 6 is an ocean west of South America. 7 is an ocean east of South America.

Image courtesy of NASA


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A.

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B.

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C.

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D.

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Please select the best answer from the choices provided

A

B

C

D

Answers

Answer:

D

Explanation:

The answer is D.

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Explanation:

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Answers

Answer:

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Explanation:

Hope this works!

Answer:

I'm not sure what exactly you are looking for, but here's a list of possible answers.

Explanation:

1. Nucleus

2. Mitochondria

3.Endoplasmic Reticulum

4. Golgi Apparatus

5. Lysosomes

6. Peroxisomes.

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Answers

Answer:

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A
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(B
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Answers

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Explanation:

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Answers

Answer:

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Explanation:

Hawking proposed theories that increased curiosity about space.     true

Scientists checked, confirmed, refined, and mathematically proved ideas.     true  

Newton's theories of gravity increased understanding of the movement of planets                true

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Answers

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Answer:

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Explanation:

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Answer:

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Explanation:

Answer:

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Explanation:

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Answer:

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Answer:

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Explanation:

Answer:

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Explanation:

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Answers

Answer:

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Answer:

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Explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

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Explanation:

hope this helps :)

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Answers

Answer:

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Explanation:

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Answers

Answer:

at an altitude of 16 kilometers the temperature of tropopause is -79° C.

Explanation:

Given that:

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Answers

Answer:

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https://brainly.com/question/5076508

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Answers

Answer:

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Explanation:

Hope that Helped!

Answer:

Aleutian : oceanic- oceanic

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Andes: oceanic- continental

Explanation:

A P E X

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He used military power to govern the empire .
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Answers

Answer:

He maintained a powerful centralized bureaucracy.

Explanation:

Thats pretty much his whole thing.

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Answers

Answer:

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Explanation:

I just did the finished the culture key issue quiz and got it right.

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Answer:

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Explanation:: Idk hopefully this helps if not im sorry :/

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Answers

Answer:

Tectonic plates are plates that can move and react in different ways with each other, these movements vary and as they vary they give rise to different geographical features.

The plates were found to slide or rub against each other, and this is what makes this sea livable.

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The updrafts / rising / hot and descending / falling / cold of the mantle can explain the movement of the plates, acting as a kind of "stimulating roller" that moves them.

Explanation:

When they move, they cause earthquakes or tsunamis in large bodies of water, when they converge and collide with each other, it may be that they form both mountains and volcanoes, in the event that they have a conduit that connects said geographic feature with the hot magma or mantle.

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projection

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Answers

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A place is connected by similar characteristics is called

Answers

Answer:A region is an area with similar characteristics. Those characteristics can be physical, natural, human, or cultural.

Explanation:

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latitude
ocean currents

Answers

The correct answer is B. Elevation

Explanation

Altitude or elevation is the name given to the number of meters above the level of the sea at which a point is located. Altitude is a factor that directly affects the temperature of a certain point on the planet, for example, in tropical areas where humidity is highest, the temperature decreases 1° Celcius for every 180 meters of elevation. While in subtropical or dry areas the temperature decreases 0.5° Celcius for every 180 meters of elevation. Therefore, in the coastal areas where it is at sea level, the temperature is usually warmer, while in the tops of the mountains we find snowfalls with low temperatures. According to the above, the correct answer is B. elevation

Answer:

elevation is right anwers

Explanation:

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