document.write( "Question 965478: Which of the following is an equation of a circle with a center at (-1, 0)?\r
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document.write( "A. (x-1)^2 + (y)^2 = 6
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document.write( "B. (x-1)^2 - (y)^2 = 3
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document.write( "C. (x+1)^2 - (y)^2 = 8
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document.write( "D. (x+1)^2 + (y)^2 = 5 \n" );
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Algebra.Com's Answer #590150 by Theo(13342)![]() ![]() You can put this solution on YOUR website! (h,k) is the centers of the circle. \n" ); document.write( "since the center of rthe circle is at (-1,0), this means that: \n" ); document.write( "h = -1 \n" ); document.write( "k = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the general form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(h,k) is the center of the circle. \n" ); document.write( "r is the radius of the circle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "selection A and selection D fit this form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "of the two, selection D is the right one because:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+1)^2 + (y)^2 = 5 tells you that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+1 = x-h which makes -h = 1 which makes h = -1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = y-k which makes -k = 0 which makes k equal 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "fyi: \n" ); document.write( "0 has no sign. \n" ); document.write( "-0 and 0 are the same value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is selection D.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the radius of that circle is sqrt(5).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |