document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309149>Question 309149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the distance between the origin and the line x+y=2?<BR>\n" );
document.write( "A.1 B.sqrt2 C.2sqrt2 D.2<BR>\n" );
document.write( "Ithink it's A.1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221019 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is B. sqrt 2.\r<BR>\n" );
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document.write( "Draw the line, and then connect a new perpendicular line from the origin to the line. It should make a 90 degree angle.\r<BR>\n" );
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document.write( "You now have two mini triangles inside a larger triangle. The larger triangle has legs of 2 and 2. This means it has angles of 45 degrees. It is isosceles.\r<BR>\n" );
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document.write( "You can now use this angle of the top smaller triangle to find the distance from origin to line.\r<BR>\n" );
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document.write( "cos(45) = x / 2<BR>\n" );
document.write( "2*cos(45) = x<BR>\n" );
document.write( "x = 1. 4142 = sqrt(2)\r<BR>\n" );
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document.write( "You could also do this with the special triangle (45-45-90) instead of with Cosine(45).\r<BR>\n" );
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document.write( "Hopefully my descriptions of the graph make some sense. Let me know if they don't! </SPAN>\n" );
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