document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246785>Question 246785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the absolute value -5+12i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180157 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think your answer is here.\r<BR>\n" );
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document.write( "-5 + 12i is equivalent to a + bi where:\r<BR>\n" );
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document.write( "a = -5<BR>\n" );
document.write( "b = 12\r<BR>\n" );
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document.write( "|-5+12i| = |z| where |z| = sqrt(a^2 + b^2) = sqrt((-5)^2 + 12^2) = sqrt (25 + 144) = sqrt (169) = 13\r<BR>\n" );
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document.write( "Apparently you are talking about a complex plane where the x-axis is the real part and the y-axis is the imaginary part of the complex number.\r<BR>\n" );
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document.write( "It's like a vector where you are looking for the length of the vector.\r<BR>\n" );
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document.write( "the graph forms a right triangle with the x-axis as the adjacent side and the line parallel to the y-axis as the opposite side.\r<BR>\n" );
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document.write( "the hypotenuse is the vector and the length of that is found by the pythagorean formula of a^2 + b^2 = c^2 with a being the real part and b being the imaginary part.\r<BR>\n" );
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document.write( "Read the reference.  It explains it pretty well. </SPAN>\n" );
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