document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106556>Question 1106556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of point P that divides the segments with the given endpoints in the ratio 2 : 3.<BR>\n" );
document.write( "i A(-3, -1) and B(2, 4) iii A(-2, -3) and B(4, 0)<BR>\n" );
document.write( "ii A(-4, 9) and B(1, -1) iv A(-6, -1) and B(3, 8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721581 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=721581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of point P that divides the segments with the given endpoints in the ratio 2 : 3.<BR>\n" );
document.write( "i A(-3, -1) and B(2, 4) <BR>\n" );
document.write( "d(A to B) = sqrt[(2--3)^2 + (4--1)^2] = sqrt[25+25] = 25sqrt(2)<BR>\n" );
document.write( "P = (-3+(2/3)25sqrt(2),-1+(2/3)25sqrt(2))<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "ii A(-4, 9) and B(1, -1)<BR>\n" );
document.write( "d(A to B) = sqrt[(1--4)^2+(-1-9)^2] = sqrt[25+100] = 5sqrt(5)<BR>\n" );
document.write( "P = (-4+(2/3)5*sqrt(5),9+(2/3)5sqrt(5))<BR>\n" );
document.write( "----<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "iii A(-2, -3) and B(4, 0) <BR>\n" );
document.write( "iv A(-6, -1) and B(3, 8)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );