document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118633>Question 1118633</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 squared. 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 #734007 by </B><A HREF=/tutors/aboutme.mpl?userid=t0hierry><B>t0hierry(194)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=t0hierry><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/cgi-bin/show-face.mpl?user=t0hierry><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/4 + y/8 = k\r<BR>\n" );
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document.write( "x=0 y = 8k B(0,8k)<BR>\n" );
document.write( "y=0 x = 4k A(4k.0)\r<BR>\n" );
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document.write( "The area is half the product of OA and OB since these are perpendicular.\r<BR>\n" );
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document.write( "So 1/2 32 k^2 = 144<BR>\n" );
document.write( "or 16 k^2 = 144<BR>\n" );
document.write( "   4 k = 12<BR>\n" );
document.write( "   k = 3 </SPAN>\n" );
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