document.write( "Question 1185816: Center at (2,-2) vertex at (7,-2) and focus (4,-2) find the equation of the ellipse \n" ); document.write( "
Algebra.Com's Answer #816658 by ikleyn(52805)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Center at (2,-2) vertex at (7,-2) and focus (4,-2) find the equation of the ellipse \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(1) Notice that the center and the vertex (and the focus) all lie on horizontal line y = -2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It means that the major axis is horizontal, and the major semi-axis is horizontal, too.\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "(2) The length of the major semi-axis \" a \" is the distance between the vertex and the center, \r\n" ); document.write( " i.e. equals 7-2 = 5 units: a = 5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(3) The focal distance (between the center and the focus) is 4-2 = 2 units: c = 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Hence, for the minor semi-axis \"b\" we have b =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |