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2 years ago

Write the equation of a circle in standard form with center ( -2,4) and radius 6. Show your work.

Mathematics

1 answer:

grigory [225]2 years ago

8 0

Answer:

( x + 2 )² + ( y - 4 )² = 36

Step-by-step explanation:

Standard equation of a circle - ( x - h )² + ( y - k )² = r²

where r = radius and center is at ( h , k )

The given center is ( -2 , 4 )

Thus h = -2 and k = 4

and the given radius is 6

Thus, r = 6

that being said, we plug in the given values into the standard equation

( x - ( - 2 )² + ( y - 4 )² = 6²

Finally we simplify

In - ( -2 ) the two negative signs cancel out and it turns into + 2

6² = 36

The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36

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Step-by-step explanation:

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3 years ago

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2 years ago

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Liono4ka [1.6K]

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Step-by-step explanation:

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1 year ago

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Vsevolod [243]

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