document.write( "Question 968855: Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units? \n" ); document.write( "
Algebra.Com's Answer #591970 by Edwin McCravy(20059)\"\" \"About 
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Each point on the edge of a circle is equidistant from the center of the circle.
\n" ); document.write( "The center of a circle is located at (6, 3). Which point on the y-axis could be
\n" ); document.write( "on the edge of the circle if the distance from the center of the circle to the
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document.write( "This describes a circle with center (h,k) = (6,3) and radius r = 10\r\n" );
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document.write( "That circle has the equation  \r\n" );
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document.write( "(x-h)²+(y-k)² = r²\r\n" );
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document.write( "(x-6)²+(y-3)² = 10²\r\n" );
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document.write( "(x-6)²+(y-3)² = 100\r\n" );
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document.write( "Every point on the y-axis has 0 as its x-coordinate, so we\r\n" );
document.write( "substitute x=0 in\r\n" );
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document.write( "(x-6)²+(y-3)² = 100\r\n" );
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document.write( "(0-6)²+(y-3)² = 100\r\n" );
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document.write( " (-6)²+(y-3)² = 100\r\n" );
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document.write( "    36+(y-3)² = 100\r\n" );
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document.write( "       (y-3)² = 64\r\n" );
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document.write( "          y-3 = ±8\r\n" );
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document.write( "            y = 3±8\r\n" );
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document.write( "      y=3+8,  y=3-8\r\n" );
document.write( "      y=11,   y=-5\r\n" );
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document.write( "Two solutions: (0,11) and (0,-5)\r\n" );
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document.write( "Edwin
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