document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168155>Question 1168155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carol and George drive away from a camp ground. Carol went North and George went<BR>\n" );
document.write( "East. Carol’s speed s 40 kph and George’s speed is 75 kph.<BR>\n" );
document.write( "a. Express the distance between the cars as a function of time.<BR>\n" );
document.write( "b. Find the domain of the function.\r<BR>\n" );
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document.write( "(And explain how do you get the answer) I totally need it  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792790 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "A function that describes Carol's distance from the origin as a function of time is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d_C(t)\ =\ 45t\">.  Similarly, for George's trip: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d_G(t)\ =\ 75t\">. Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large d_i(t)\"> is measured in kilometers and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\"> is in hours.  Each of these functions describes the measure of a leg of a right triangle at any given time <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\">, so the distance between the two is the square root of the sum of the squares of the two functions. Thank you, Mr. Pythagoras.  So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d(t)\ =\ \sqrt{\(d_C(t)\)^2\ +\ \(d_G(t)\)^2}\ =\ \sqrt{\(45t)^2\ +\ (75t)^2}\ =\ \sqrt{7650t^2}\ =\ 15t\sqrt{34}\">\r<BR>\n" );
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document.write( "Which, like any other polynomial function has a domain of all real numbers.  However, since a negative number for elapsed time is nonsense, the domain of this function in practical terms is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text{dom}(d)\ =\ \{t\,\in\,\,\mathbb{R}\,|\,t\,\geq\,0}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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