The equation x² - 4x + y2-2y = 16 describes a circle. What is the y-coordinate of the center of the circle?

Saad Ur Rehman asked Oct 10, 2023

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45 votes

The equation x² - 4x + y2-2y = 16 describes a circle. What is the y-coordinate of

the center of the circle?

Saad Ur Rehman asked Oct 10, 2023

2.2k points

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21 votes

Answer:

Explanation:

→ Complete the square

( x - 2)² - 4 + ( y - 1 )² - 1 = 16

→ Simplify

( x - 2 )² + ( y - 1 )² = 21

→ Find centre

( 2 , 1 )

Roman Panaget answered Oct 16, 2023

3.6k points

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