document.write( "Question 1142075: Find the coordinate of the vertices and foci and
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Algebra.Com's Answer #762734 by ikleyn(52786)\"\" \"About 
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document.write( "For the hyperbola given by equation\r\n" );
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document.write( "    \"x%5E2%2F81\" - \"y%5E2%2F49\" = 1,     (1)\r\n" );
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document.write( "the equation for the asymptotes is\r\n" );
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document.write( "    \"x%5E2%2F81\" - \"y%5E2%2F49\" = 0.      (2)\r\n" );
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document.write( "It is obtained from the standard equation of the hyperbola (1) replacing \"1\" in the right side of the hyperbola' standard equation by \"0\".\r\n" );
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document.write( "The equation (2) deploys in two equations (3) and (4) below for the two straight asymptotes in this way\r\n" );
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document.write( "    \"%28x%2F9+%2B+y%2F7%29%2A%28x%2F9+-+y%2F7%29\" = 0  =================>\r\n" );
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document.write( "    \"x%2F9+%2B+y%2F7\" = 0    (3),   and\r\n" );
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document.write( "    \"x%2F9+-+y%2F7\" = 0.   (4)\r\n" );
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document.write( "You can further transform these equations for asymptotes (3), (4) to any other appropriate equivalent form.\r\n" );
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