document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118698>Question 1118698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the line x/4 + y/8 = k where k is a positive number.<BR>\n" );
document.write( "a) In terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively.<BR>\n" );
document.write( "b) The area of triangle AOB, where O is the origin, is 144 units^2. Find the value(s) of k. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734103 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the line x/4 + y/8 = k where k is a positive number.<BR>\n" );
document.write( "a) In terms of k, write down the coordinates of A and B, the points where the line meets the x and y axes respectively.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Meets x axis means y = 0::<BR>\n" );
document.write( "x/4 + 0/8 = k<BR>\n" );
document.write( "x = 4k<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Meets y axis means x = 0::<BR>\n" );
document.write( "0/4 + y/8 = k<BR>\n" );
document.write( "y = 8k<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "b) The area of triangle AOB, where O is the origin, is 144 units^2. Find the value(s) of k. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Plot the points:: A(4k,0) and B(0,8k) and O(0,0)<BR>\n" );
document.write( "Notice the triangle AOB.<BR>\n" );
document.write( "base = 4k<BR>\n" );
document.write( "altitude = 8k<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(1/2)(4k)(8k) = 144 u^2<BR>\n" );
document.write( "16k^2 = 144 u^2<BR>\n" );
document.write( "k^2 = 9 u^2<BR>\n" );
document.write( "k = 3 units<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );