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muminat
3 years ago
12

What is the center and radius of the circle with the given equation?

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Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

(- 1, - 4 ) and r = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form from the given equation use the method of completing the square.

Given

x² + y² + 2x + 8y = 8 ( rearrange by collecting x and y terms )

x² + 2x + y² + 8y = 8

To complete the square

add ( half the coefficients of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(4)x + 16 = 8 + 1 + 16

(x + 1)² + (y + 4)² = 25 ← in standard form

with centre (h, k ) = (- 1, - 4 ) and r = \sqrt{25} = 5

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Answer:

       23 sin 55°

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7 0
3 years ago
What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Data

Distance from Lexington from Fayetteville = 2/3 as distance Lexington and Booneville.

Distance Lexington to Fayetteville = 108 miles

Process

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The distance from Lexington to Fayetteville = 72 miles                      

3 0
3 years ago
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