document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396764>Question 396764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, how do I figure out this complex numbers problem? Any help is greatly appreciated!\r<BR>\n" );
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document.write( "The point (-4+bi)has been plotted on the complex plane and r=8. If 0°&#8804;&#952;&#8804;180° find the value of b. Leave answer as a radical.\r<BR>\n" );
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document.write( "Thank you.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281507 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The magnitude of the complex number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-4%29%5E2+%2B+b%5E2%29+=+8 ALIGN=MIDDLE  ALT=\"sqrt%28%28-4%29%5E2+%2B+b%5E2%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Simplifying,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+b%5E2+=+64 ALIGN=MIDDLE  ALT=\"16+%2B+b%5E2+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+48 ALIGN=MIDDLE  ALT=\"b%5E2+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+0+%2B-+sqrt%2848%29+=+0+%2B-+4sqrt%283%29 ALIGN=MIDDLE  ALT=\"b+=+0+%2B-+sqrt%2848%29+=+0+%2B-+4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note that b must be positive since the angle is between 0 and 180, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4sqrt%283%29 ALIGN=MIDDLE  ALT=\"b+=+4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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