document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040775>Question 1040775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a plane,the distance between points X and Y is 10 the distance between points X and P is 3, and the distance between points Y and Q is 4 which of the following CANNOT be the length of PQ?<BR>\n" );
document.write( "A) 2<BR>\n" );
document.write( "B) 3<BR>\n" );
document.write( "C) 15 <BR>\n" );
document.write( "D) 17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655699 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=655699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Draw points X and Y 10 units apart. Then draw a circle with center point X and radius 3. P is some point on this circle. Imagine P can slide around freely on the circle but must stay on the circle.\r<BR>\n" );
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document.write( "Draw another circle with center Y and radius 4. Q will be stuck to the second circle. \r<BR>\n" );
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document.write( "Let d = distance from P to Q\r<BR>\n" );
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document.write( "If you imagine P and Q getting as far apart as possible, then the value of d would be maxed out. This only happens if P and Q lie on the line XY (extend out segment XY to get line XY). This max value of d is 3+10+4 = 17 units. I'm adding the distance from X to Y (10) to the two radii (3 and 4). <BR>\n" );
document.write( "P and Q can't get any further than 17 units apart.\r<BR>\n" );
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document.write( "The smallest value of d is d = 3. This can be found by computing 10-3-4 = 3. Basically take the distance of X to Y (10) and subtract off the two radii (3 and 4)\r<BR>\n" );
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document.write( "So to summarize, the smallest value of d is d = 3 and the largest is d = 17. We can have distances between those two values. We cannot have any distance smaller than 3 or larger than 17.\r<BR>\n" );
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document.write( "<font color=red>Choice A</font> is the answer because d = 2 is smaller than d = 3. We cannot have P and Q be 2 units apart. <BR>\n" );
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