document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974087>Question 974087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this:\r<BR>\n" );
document.write( "\n" );
document.write( "Find a number t such that the distance between <BR>\n" );
document.write( "(&#8722;3, 2)<BR>\n" );
document.write( " and <BR>\n" );
document.write( "(3t, 2t)<BR>\n" );
document.write( " is as small as possible </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596102 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this:\r<BR>\n" );
document.write( "\n" );
document.write( "Find a number t such that the distance between <BR>\n" );
document.write( "(&#8722;3, 2)<BR>\n" );
document.write( " and <BR>\n" );
document.write( "(3t, 2t)<BR>\n" );
document.write( " is as small as possible<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28-3+-+3t%29%5E2+%2B+%282+-+2t%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28-3+-+3t%29%5E2+%2B+%282+-+2t%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%289+%2B+18t+%2B+9t%5E2+%2B+4+-+8t+%2B+4t%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%289+%2B+18t+%2B+9t%5E2+%2B+4+-+8t+%2B+4t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2813t%5E2+%2B+10t+%2B+13%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2813t%5E2+%2B+10t+%2B+13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "dd/dt = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%2813t%5E2+%2B+10t+%2B+13%29%5E%28-1%2F2%29%2A%2826t%2B10%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%2813t%5E2+%2B+10t+%2B+13%29%5E%28-1%2F2%29%2A%2826t%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813t%5E2+%2B+10t+%2B+13%29%5E%28-1%2F2%29%2A%2813t%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%2813t%5E2+%2B+10t+%2B+13%29%5E%28-1%2F2%29%2A%2813t%2B5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = -5/13<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );