document.write( "Question 1137062: Find an equation of the ellipse that has center (-5,5), a minor axis of length 4, and a vertex at (4,5). \n" ); document.write( "
Algebra.Com's Answer #754906 by ikleyn(52800)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The center (-5,5) and the vertex (4,5) are on one horizontal  line y= 5.\r\n" );
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document.write( "The distance between the center and given vertex is 4 - (-5) = 9 units.\r\n" );
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document.write( "It means that this distance IS NOT a minor semi-axes (!) : it is the MAJOR semi-axis.\r\n" );
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document.write( "So, we established that the major semi-axis is horizontal parallel to x-axis; its length is 9. \r\n" );
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document.write( "Once again: the major semi-axis is parallel to x- axis and has the length of 9.\r\n" );
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document.write( "Hence, the minor semi-axis is parallel to y-axis and has the length 4/2 = 2.\r\n" );
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document.write( "The ellipse is longer than tall.\r\n" );
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document.write( "The equation has the form\r\n" );
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document.write( "\"%28x-%28-5%29%29%5E2%2F9%5E2\" + \"%28y-5%29%5E2%2F2%5E2\" = 1,    or\r\n" );
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document.write( "\"%28x%2B5%29%5E2%2F9%5E2\" + \"%28y-5%29%5E2%2F2%5E2\" = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see the theory and a set of solved problems on this subject, look into the lessons in this site \r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements \r
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\n" ); document.write( "\n" ); document.write( "    - Standard equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its standard equation\r
\n" ); document.write( "\n" ); document.write( "    - Find the 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 lesson is 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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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Be aware :   the solution by  @MathLover1 is   W R O N G !\r
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