document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064983>Question 1064983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Point A is located at  (4,1) and point B is located at (9,13).\r<BR>\n" );
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document.write( "What are the coordinates of the point that partitions the directed line segment AB in a  4:1 ratio? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680095 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x coordinate is 4/5 of the way from 4 to 9, and that distance is 5, so the x coordinate is at 8.<BR>\n" );
document.write( "The y coordinate is 4/5 of the way from 1 to 13, and that distance is 12, so the y coordinate is 48/5 or 9.6 of the way or at 10.6<BR>\n" );
document.write( "(8,10.6) is the coordinate.<BR>\n" );
document.write( "Distance from A is sqrt ((8-4)^2+(10.6-1)^2)= sqrt (16+92.16)=sqrt (108.16)=10.4 units<BR>\n" );
document.write( "Distance from B is sqrt ((9-8)^2+(13-10.6)^2=sqrt(1+5.76)=sqrt(6.76)=2.6 units<BR>\n" );
document.write( "Total distance is sqrt (12^2+5^2)=13<BR>\n" );
document.write( "10.4 is 4/5 of the way to 13.<BR>\n" );
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