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Naddika [18.5K]
2 years ago
12

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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kolbaska11 [484]

Answer:

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Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

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4 0
3 years ago
solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5
miss Akunina [59]

Answer:

The coordinate of the points on the graph as shown , where                  ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

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The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y  from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

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I.e x = 3

So The value of x = 3

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or, y = 2 × 3 - 4

∴  y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where               ( x ,y ) = ( 3 , 2 )  Answer

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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Help me please !!!! (:
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3 years ago
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