document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004256>Question 1004256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lines 3x+2y-10=0 is perpendicular to 2x-By+2=0.\r<BR>\n" );
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document.write( "a.) Find the value of B.<BR>\n" );
document.write( "b.) Find the distance from intersection of lines to the origin.<BR>\n" );
document.write( "c.) Find the equation of line having a slope of 2 which passes through the intersection of two lines. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620767 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "First sort out equations into<BR>\n" );
document.write( "y = mx + c form<BR>\n" );
document.write( "3x + 2y - 10 = 0<BR>\n" );
document.write( "2y = -3x + 10<BR>\n" );
document.write( "y = -3/2x + 5<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "2x - By + 2 = 0<BR>\n" );
document.write( "-By = -2x - 2<BR>\n" );
document.write( "By = 2x + 2<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "Lines that are perpendicular<BR>\n" );
document.write( "to one another have slopes that<BR>\n" );
document.write( "multiply together to give -1<BR>\n" );
document.write( "m1 x m2 = -1<BR>\n" );
document.write( "-3/2 x m2 = -1<BR>\n" );
document.write( "m2 = 2/3<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "So B = 3<BR>\n" );
document.write( "By = 2x + 2<BR>\n" );
document.write( "3y = 2x + 2<BR>\n" );
document.write( "y = 2/3x + 2/3<BR>\n" );
document.write( "...........<BR>\n" );
document.write( "Using:<BR>\n" );
document.write( "3y - 2x = 2......(1)<BR>\n" );
document.write( "2y + 3x = 10.....(2)<BR>\n" );
document.write( "Multiply (1) by 3<BR>\n" );
document.write( "Multiply (2) by 2<BR>\n" );
document.write( "9y - 6x = 6......(1)<BR>\n" );
document.write( "4y + 6x = 20.....(2)<BR>\n" );
document.write( "Add (1) + (2)<BR>\n" );
document.write( "13y .....= 26<BR>\n" );
document.write( "y .......= 2<BR>\n" );
document.write( "Substitute y = 2 into<BR>\n" );
document.write( "2y + 3x = 10<BR>\n" );
document.write( "2(2) + 3x = 10<BR>\n" );
document.write( "4 + 3x = 10<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "{2,2} Intersection.<BR>\n" );
document.write( "B) Distance to (2,2) = 2root2 = 2.83 units (2 decimal places)<BR>\n" );
document.write( "C) Using y - b = m(x - a)<BR>\n" );
document.write( "with m = 2<BR>\n" );
document.write( "(a,b) = (2,2)<BR>\n" );
document.write( "y - 2 = 2(x - 2)<BR>\n" );
document.write( "y - 2 = 2x - 4<BR>\n" );
document.write( "y = 2x - 4 + 2<BR>\n" );
document.write( "y = 2x - 2<BR>\n" );
document.write( "Hope this helps :-)<BR>\n" );
document.write( " </SPAN>\n" );
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