document.write( "Question 1073654: please help me Find the center, vertices, foci and endpoints with the minor axis of the ellipse of 2x^2+3y^2=18 \n" ); document.write( "
Algebra.Com's Answer #688457 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "please help me Find the center, vertices, foci and endpoints with the minor axis of the ellipse of 2x^2+3y^2=18
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document.write( "2x^2+3y^2 = 18   --->  (divide both sides by 18. You will get)  --->\r\n" );
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document.write( "\"x%5E2%2F9+%2B+y%5E2%2F6\" = 1  --->\r\n" );
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document.write( "\"x%5E2%2F3%5E2+%2B+y%5E2%2F%28sqrt%286%29%29%5E2\" = 1.\r\n" );
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document.write( "It is the canonical equation of the ellipse with the center at the origin (x,y) = (0,0), \r\n" );
document.write( "the major semi-axis a = 3, the minor semi-axis b = \"sqrt%286%29\".\r\n" );
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document.write( "Vertices are (3,0), (-3,0), (\"0\", \"sqrt%286%29\"),  (\"0\",\"-sqrt%286%29\"),\r\n" );
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document.write( "The linear eccentricity of the ellipse is the number \"c\" = \"sqrt%28a%5E2-b%5E2%29\" = \"sqrt%283%5E2-%28sqrt%286%29%29%5E2%29\" = \"sqrt%283%29\".\r\n" );
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document.write( "The foci are the points (c,0) = (\"sqrt%283%29\",\"0\") and (-c,0) = (\"-sqrt%283%29\",\"0\").\r\n" );
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\n" ); document.write( "\n" ); document.write( "Figure.  The ellipse   \"x%5E2%2F3%5E2+%2B+y%5E2%2F%28sqrt%286%29%29%5E2\" = 1.\r
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements\r
\n" ); document.write( "\n" ); document.write( "    - Identify the vertices, co-vertices and foci of the ellipse given by an equation\r
\n" ); document.write( "\n" ); document.write( "    - Find a standard equation of an ellipse given by its elements\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r
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