Monday

January 26, 2015

January 26, 2015

Posted by **Rachel** on Sunday, May 27, 2012 at 9:08pm.

- Math -
**Bosnian**, Sunday, May 27, 2012 at 9:57pmx ^ 2 + y ^ 2 - 6 x - 8 y + 25 = 36

Equation of a circle in standard form :

( x - h ) ^ 2 + ( y - k ) ^ 2 = r ^ 2

x ^ 2 + y ^ 2 - 6 x - 8 y + 25 = 36

x ^ 2 - 6 x + y ^ 2 - 8 y + 25 = 36

( x ^ 2 - 6 x ) + ( y ^ 2 - 8 y ) + 25 = 36

The process involves completing the square separately for the x and y variables.

____________________________________

( x - 3 ) ^ 2 = x ^ 2 - 2 * x * 3 + 3 ^ 2

( x - 3 ) ^ 2 = x ^ 2 - 6 x + 9 Subtract 9 to both sides

( x - 3 ) ^ 2 - 9 = x ^ 2 - 6 x + 9 - 9

( x - 3 ) ^ 2 - 9 = x ^ 2 - 6 x

x ^ 2 - 6 x = ( x - 3 ) ^ 2 - 9

( y - 4 ) ^ 2 = y ^ 2 - 2 * y * 4 + 4 ^ 2

( y - 4 ) ^ 2 = y ^ 2 - 8 y + 16 Subtract 16 to both sides

( y - 4 ) ^ 2 - 16 = y ^ 2 - 8 y + 16 -16

( y - 4 ) ^ 2 - 16 = y ^ 2 - 8 y

y ^ 2 - 8 y = ( y - 4 ) ^ 2 - 16

__________________________

( x ^ 2 - 6 x ) + ( y ^ 2 - 8 y ) + 25 = 36

( x - 3 ) ^ 2 - 9 + ( y - 4 ) ^ 2 - 16 + 25 = 36

(x - 3 ) ^ 2 + ( y - 4 ) ^ 2 - 25 + 25 = 36

( x - 3 ) ^ 2 + ( y - 4 ) ^ 2 = 36

( x - 3 ) ^ 2 + ( y - 4 ) ^ 2 = 6 ^ 2

**Answer this Question**

**Related Questions**

Algebra - 2. Write the equation of the circle in standard form. Find the center...

Algerbra - Write the equation of the circle in standard form. Find the center, ...

pre calculus - Write the equation of the circle in standard form. Find the ...

College Algebra - Write the equation of the circle in standard form. Find the ...

College Algebra - Write the equation of the circle in standard form. Find the ...

Math - These questions that I have completed are on a test review for my exam ...

College Algebra - Write the equation of a circle in standard Find the center, ...

Math(Please check answers) - These questions that I have completed are on a ...

college algebra - write the equation of the circle in standard form find the ...

college algebra - Write the equation of the circle in standard form. Find the ...