document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13341>Question 13341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the distance between the points (9,5) and (2,6)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6702 by </B><A HREF=/tutors/aboutme.mpl?userid=akmb1215><B>akmb1215(68)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=akmb1215><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=6702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula to find the distance between two points is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...where (x1,y1) are the coordinates of the first point (in your case, (9,5)...and (x2,y2) are the coordinates of the second point (in your problem, (2,6). Plug your points into the equation to get:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%28%282+-+9%29%5E2+%2B+%286+-+5%29%5E2%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%28%282+-+9%29%5E2+%2B+%286+-+5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Subtract the numbers in the parentheses to get:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%28%28-7%29%5E2+%2B+%281%29%5E2%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%28%28-7%29%5E2+%2B+%281%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Square -7 and 1 to get:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%2849+%2B+1%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%2849+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Add to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%2850%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Simplify the square root to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+2sqrt%285%29 ALIGN=MIDDLE  ALT=\"D+=+2sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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