document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195590>Question 1195590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One of the longest crude oil pipelines in the world is the one from Edmonton, Alberta, to Buffalo, New York, a distance of 2858 km. In In one region, the pipeline follows the path given by y=2x+20, where each unit on the grid represents 1 km. A town in that region is centred at (50,5) and has a radius of 5 km. New bylaws require that the pipeline not be within 55 km of an urban area.<BR>\n" );
document.write( "a) How close does the pipeline come to the town?<BR>\n" );
document.write( "b) Does the pipeline need to be rerouted?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828112 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=828112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One of the longest crude oil pipelines in the world is the one from Edmonton, Alberta, to Buffalo, New York, a distance of 2858 km. In In one region, the pipeline follows the path given by y=2x+20, where each unit on the grid represents 1 km. A town in that region is centred at (50,5) and has a radius of 5 km. New bylaws require that the pipeline not be within 55 km of an urban area.<BR>\n" );
document.write( "a) How close does the pipeline come to the town?<BR>\n" );
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document.write( "y=2x+20 --> 2x - y + 20 = 0<BR>\n" );
document.write( "Distance for the center at (50,5) = |2*50 -1*5 + 20|/sqrt(2^2 + 1^2)<BR>\n" );
document.write( "= 115/sqrt(5) = ~51.43 km<BR>\n" );
document.write( "Minus the 5 km radius ---> 46.43 kms<BR>\n" );
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document.write( "b) Does the pipeline need to be rerouted?<BR>\n" );
document.write( "Obviously, it does.<BR>\n" );
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