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ASAP : What is the y-coordinate of the center of the circle for the following circle equation? x2 + y2 - 10y + 18x = 2

User Mrmar
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1 Answer

5 votes

Answer:

y = 5

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 ad r is the radius

Given

x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )

x² + 18x + y² - 10y = 2

Using the method of completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25

(x + 9)² + (y - 5)² = 108 ← in standard form

with centre = (- 9, 5 )

The y- coordinate of the centre is therefore y = 5

User CSchulz
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