document.write( "Question 1087977: Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 = 100. \n" ); document.write( "

Algebra.Com's Answer #702271 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 = 100.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " = 100  ====>  (divide by 100 both sides)  ====>\r\n" );
document.write( "\r\n" );
document.write( " -  = 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The center is (0,0), the origin.\r\n" );
document.write( "\r\n" );
document.write( "The real axis is horizontal line y = 0, coinciding with x-axis.\r\n" );
document.write( "\r\n" );
document.write( "The vertices are (-2,0) and (2,0), where 2 - .\r\n" );
document.write( "\r\n" );
document.write( "The distance from the center to either focus is c =  = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Hyperbola definition, canonical equation, characteristic points and elements \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "    - Standard equation of a hyperbola \r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of hyperbola given by its standard equation \r
\n" ); document.write( "\n" ); document.write( "    - Find the standard equation of a hyperbola given by its elements \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on hyperbolas \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Hyperbolas. Definition, major elements and properties. Solved problems\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );