document.write( "Question 58403: write an equation for the ellipse that satisfies each set of conditions.
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document.write( "endpoints of major axis at (-9,0) and (9,0), endpoints of minor axis at (0,3) and (0,-3).\r
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document.write( "I got x2/9+y2/81=1 is this right? \n" );
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Algebra.Com's Answer #40018 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! write an equation for the \r\n" ); document.write( "ellipse that satisfies each set of conditions.\r\n" ); document.write( "endpoints of major axis at (-9,0) and (9,0), \r\n" ); document.write( "endpoints of minor axis at (0,3) and (0,-3).\r\n" ); document.write( "\r\n" ); document.write( "Its center is at the origin because (0,0) is halfway \r\n" ); document.write( "between both the endpoints of the major axis as well \r\n" ); document.write( "as halfway between both endpoints of the minor axis, \r\n" ); document.write( "therefore the equation is either of the form\r\n" ); document.write( "\r\n" ); document.write( " x² y²\r\n" ); document.write( "---- + ---- = 1\r\n" ); document.write( " a² b²\r\n" ); document.write( "\r\n" ); document.write( "if it is fatter than it is tall, that is, like\r\n" ); document.write( "an egg lying on a table,\r\n" ); document.write( "\r\n" ); document.write( " or\r\n" ); document.write( "\r\n" ); document.write( " x² y²\r\n" ); document.write( "---- + ---- = 1\r\n" ); document.write( " b² a²\r\n" ); document.write( "\r\n" ); document.write( "if it is taller than it is fat, that is, like\r\n" ); document.write( "the numeral zero, 0.\r\n" ); document.write( "\r\n" ); document.write( "Obviously this one is like an egg lying on a table.\r\n" ); document.write( "\r\n" ); document.write( "a = half the major axis\r\n" ); document.write( "b = half the minor axis\r\n" ); document.write( "\r\n" ); document.write( "the distance between (-9,0) and (9,0) is 18 and\r\n" ); document.write( "the distance between (-3,0) and (3,0) is 6\r\n" ); document.write( "\r\n" ); document.write( "so a = 9 and b = 3\r\n" ); document.write( "\r\n" ); document.write( "So the equation is\r\n" ); document.write( "\r\n" ); document.write( " x² y²\r\n" ); document.write( "---- + ---- = 1\r\n" ); document.write( " a² b²\r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( " x² y²\r\n" ); document.write( "---- + ---- = 1\r\n" ); document.write( " 9² 3²\r\n" ); document.write( " \r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( " x² y²\r\n" ); document.write( "---- + ---- = 1\r\n" ); document.write( " 81 9\r\n" ); document.write( "\r\n" ); document.write( "Its graph is:\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |