document.write( "Question 1063040: Write the general form of the equation of the circle with radius r and center (h, k). r = 2 ; (h, k) = (4, -4) \n" ); document.write( "
Algebra.Com's Answer #678044 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
r = 2 ; (h, k) = (4, -4)
\n" ); document.write( "
\r\n" );
document.write( "\"%28x-h%5E%22%22%29%5E2%2B%28y-k%5E%22%22%29%5E2\"\"%22%22=%22%22\"\"r%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "Substitute 4 for h, -4 for k, and 2 for r\r\n" );
document.write( "\r\n" );
document.write( "\"%28x-4%5E%22%22%29%5E2%2B%28y-%28-4%29%5E%22%22%29%5E2\"\"%22%22=%22%22\"\"2%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "Simplify,multiply everything out, collect terms, and get\r\n" );
document.write( "0 on the right:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x-4%5E%22%22%29%5E2%2B%28y%2B4%5E%22%22%29%5E2\"\"%22%22=%22%22\"\"4\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28x-4%5E%22%22%29%28x-4%5E%22%22%29%2B%28y%2B4%5E%22%22%29%28y%2B4%5E%22%22%29\"\"%22%22=%22%22\"\"4\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28x%5E2-4x-4x%2B16%5E%22%22%29%2B%28y%5E2%2B4y%2B4y%2B16%29\"\"%22%22=%22%22\"\"4\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2-4x-4x%2B16%2By%5E2%2B4y%2B4y%2B16\"\"%22%22=%22%22\"\"4\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2-8x%2By%5E2%2B8y%2B32\"\"%22%22=%22%22\"\"4\"\r\n" );
document.write( "\r\n" );
document.write( "Get 0 on the right by subtracting 4 from both sides:\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2-8x%2By%5E2%2B8y%2B28\"\"%22%22=%22%22\"\"0\"\r\n" );
document.write( "\r\n" );
document.write( "The general form has the squared terms first, then the\r\n" );
document.write( "x and y terms then the constant (number), then = 0\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2%2By%5E2-8x%2B8y%2B28\"\"%22%22=%22%22\"\"0\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );