document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345414>Question 345414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave Cedar Lake, Indiana, at the same time, one heading due north, and the other one heading due east. After a few hours, they are 170 miles apart. The car traveling north had traveled 70 miles farther than the car traveling east.<BR>\n" );
document.write( "(How far has each car traveled?) Hint: use pythagorean formula </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247059 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars leave Cedar Lake, Indiana, at the same time, one heading due north, and the other one heading due east. After a few hours, they are 170 miles apart. The car traveling north had traveled 70 miles farther than the car traveling east.<BR>\n" );
document.write( "(How far has each car traveled?) Hint: use pythagorean formula\r<BR>\n" );
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document.write( "Let the distance covered by the car traveling east be E\r<BR>\n" );
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document.write( "Since the car traveling north traveled 70 miles farther than the car traveling east, then the distance covered by the car traveling north is E + 70\r<BR>\n" );
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document.write( "Since one car traveled east while the other traveled north, their respective locations form a right triangle with the distance between them (170 miles) being the hypotenuse of the right triangle\r<BR>\n" );
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document.write( "We therefore have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5E2+%2B+%28E+%2B+70%29%5E2+=+170%5E2 ALIGN=MIDDLE  ALT=\"E%5E2+%2B+%28E+%2B+70%29%5E2+=+170%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5E2+%2B+E%5E2+%2B+140E+%2B+4900+=+28900 ALIGN=MIDDLE  ALT=\"E%5E2+%2B+E%5E2+%2B+140E+%2B+4900+=+28900\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2E%5E2+%2B+140E+-+24000+=+0 ALIGN=MIDDLE  ALT=\"2E%5E2+%2B+140E+-+24000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28E%5E2+%2B+70E+-+12000%29+=+2%280%29 ALIGN=MIDDLE  ALT=\"2%28E%5E2+%2B+70E+-+12000%29+=+2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____Factoring out GCF to reduce equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%5E2+%2B+70E+-+12000+=+0 ALIGN=MIDDLE  ALT=\"E%5E2+%2B+70E+-+12000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(E + 150)(E - 80) = 0______Factoring trinomial\r<BR>\n" );
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document.write( "E = - 150 (ignore, as distance CANNOT be negative), or E = 80\r<BR>\n" );
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document.write( "E, or distance traveled by car heading east = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2880%29 ALIGN=MIDDLE  ALT=\"highlight_green%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "E + 70, or distance traveled by car heading north = (80 + 70) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28150%29 ALIGN=MIDDLE  ALT=\"highlight_green%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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