document.write( "Question 1185926: Find the bisector of the obtuse angle between the lines 11x +2y + 7 = 0 and x + 2y + 20 = 0 \n" ); document.write( "

Algebra.Com's Answer #816825 by Alan3354(69443) $\"\"$ $\"About$

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Find the bisector of the obtuse angle between the lines 11x +2y + 7 = 0 and x + 2y + 20 = 0
\n" ); document.write( "----------------
\n" ); document.write( "Step 1, find the intersection:
\n" ); document.write( "11x +2y + 7 = 0
\n" ); document.write( "x + 2y + 20 = 0
\n" ); document.write( "---------------------------- Subtract
\n" ); document.write( "10x - 13 = 0
\n" ); document.write( "x = 1.3
\n" ); document.write( "---
\n" ); document.write( "x + 2y + 20 = 0
\n" ); document.write( "1.3 + 2y = -20
\n" ); document.write( "y = -10.65
\n" ); document.write( "(1.3,-10.65) is the intersection
\n" ); document.write( "===========================================
\n" ); document.write( "Find the slope of each line:
\n" ); document.write( "11x +2y + 7 = 0
\n" ); document.write( "m1 = -11/2
\n" ); document.write( "x + 2y + 20 = 0
\n" ); document.write( "m2 = -1/2
\n" ); document.write( "--------------------------
\n" ); document.write( "The angle with the x-axis is the inverse tangent of the slope.
\n" ); document.write( "Find the average of the 2 angles.
\n" ); document.write( "The slope of the bisector is the tangent of the average of the 2 angles.
\n" ); document.write( "Slope = 0.75
\n" ); document.write( "==================
\n" ); document.write( "The bisector is the line with slope = 0.75 thru (1.3,-10.65)
\n" ); document.write( "y+10.65 = 0.75*(x-1.3)
\n" ); document.write( "=====================================
\n" ); document.write( "Post a TY note and I'll send you a graph. \n" ); document.write( "

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