document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105761>Question 105761</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>structure and method book2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2 ships leave port one sailing east and the other south. some time later they are 17 mi apart, with the eastbound ship 7 mi farther from the port than the southbound ship. how far is each from port?\r<BR>\n" );
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document.write( "I thank you very much for your assistance. I constantly struggle with all of my word problems. \r<BR>\n" );
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document.write( "Once again your time and assistance is appreciated.\r<BR>\n" );
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document.write( "Sincerely,\r<BR>\n" );
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document.write( "Steph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76938 by </B><A HREF=/tutors/aboutme.mpl?userid=kmcruz09><B>kmcruz09(38)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kmcruz09><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=76938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 ships leave port one sailing east and the other south. some time later they are 17 mi apart, with the eastbound ship 7 mi farther from the port than the southbound ship. how far is each from port?\r<BR>\n" );
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document.write( "In this type of questions, we have to use the Pythagorean Theorem. It states that in a right triangle, the square of the first leg plus the square of the sqcond lerg is equal to the square of the hypotenuse. In this case, let us assume that x is the distance of the southbound ship from the port, then it follows that x + 7 is the distance of the eastbound ship from the port. They are 17 miles apart. Equating we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B7%29%5E2+=+17%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B7%29%5E2+=+17%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+%2B+14x+%2B+49+=+289 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B+14x+%2B+49+=+289\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+14x+-+240+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+14x+-+240+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Applying the quadratic formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-14+%2B-+sqrt%28+14%5E2-4%2A2%2A-240+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-14+%2B-+sqrt%28+14%5E2-4%2A2%2A-240+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-14+%2B-+sqrt%28+196-%28-1920%29%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-14+%2B-+sqrt%28+196-%28-1920%29%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-14+%2B-+sqrt%28+2116%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-14+%2B-+sqrt%28+2116%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-14+%2B+46+%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-14+%2B+46+%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-14+-+46+%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-14+-+46+%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2832%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%2832%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-60%2F4 ALIGN=MIDDLE  ALT=\"x+=+-60%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-15 ALIGN=MIDDLE  ALT=\"x=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since we are solving real problems, it cannot be a negative integer. So we have to use the positive root which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then the distance of the southbound ship from the port is 8 miles, while the distance of the eastbound ship from the port is 15 miles.\r<BR>\n" );
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document.write( "Thank you.<BR>\n" );
document.write( "~kmcruz09~ </SPAN>\n" );
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