document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146923>Question 146923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> segment p1 p2 has length L and endpoints p1=(2,7)and p2=(8,3).<BR>\n" );
document.write( "find a point on p1 p2 that is 1/3L away from p1.\r<BR>\n" );
document.write( "\n" );
document.write( "A.(6,11/3)<BR>\n" );
document.write( "B.(4,5)<BR>\n" );
document.write( "C.(4,17/3)<BR>\n" );
document.write( "D.(11/3,17/3)<BR>\n" );
document.write( "E.n/a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107713 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=107713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> segment p1 p2 has length L and endpoints p1=(2,7)and p2=(8,3).<BR>\n" );
document.write( "find a point on p1 p2 that is 1/3L away from p1. <BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Let the point be (x,y):<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "distance from (2,7) to (8,3) = sqrt(4^2+6^2) = sqrt(52)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "distance from (2,7) to (x,y) = (1/3)(sqrt(52))<BR>\n" );
document.write( "(y-7)^2 + (x-2)^2 = 52/9<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "The solution is a circle of points.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );