document.write( "Question 457829: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0 \n" ); document.write( "
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Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0
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\n" ); document.write( "Find the y-ints to get the y distance
\n" ); document.write( "3x+2y=6 --> y-int = 3
\n" ); document.write( "3x+2y=0 --> y-int = 0
\n" ); document.write( "y distance = 3
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\n" ); document.write( "Solve for x to get the x distance
\n" ); document.write( "3x+2y=6 --> x-int = 2
\n" ); document.write( "3x+2y=0 --> x-int = 0
\n" ); document.write( "x distance = 2
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\n" ); document.write( "shortest distance between 2 lines
\n" ); document.write( "= x*y/sqrt(x^2 + y^2)
\n" ); document.write( "= 2*3/sqrt(13)
\n" ); document.write( "= 6sqrt(13)/13
\n" ); document.write( "=~ 1.6641
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