document.write( "Question 1180629: Find the distance d between two parallel lines 3x - y + 2 = 0 and 3x - y + 7 = 0\r
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Algebra.Com's Answer #810358 by ikleyn(52794)\"\" \"About 
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\n" ); document.write( "Find the distance d between two parallel lines 3x - y + 2 = 0 and 3x - y + 7 = 0.
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document.write( "If two parallel lines in a coordinate plane are given by equations\r\n" );
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document.write( "    ax + by + e = 0\r\n" );
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document.write( "and\r\n" );
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document.write( "    ax + by + f = 0,\r\n" );
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document.write( "then the distance between these parallel lines is\r\n" );
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document.write( "    d = \"abs%28e-f%29%2Fsqrt%28a%5E2+%2B+b%5E2%29\".\r\n" );
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document.write( "See this Wikipedia article\r\n" );
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document.write( "    https://en.wikipedia.org/wiki/Distance_between_two_parallel_lines#:~:text=The%20distance%20between%20two%20parallel,distance%20between%20them%20is%20zero.\r\n" );
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document.write( "In your case,  a = 3;  b = -1;  e = 2;  f = 7.\r\n" );
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document.write( "So, according to the formula above, the distance between the given parallel lines is\r\n" );
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document.write( "    d = \"abs%287-2%29%2Fsqrt%283%5E2+%2B+%28-1%29%5E2%29\" = \"5%2Fsqrt%2810%29\" = \"%285%2Asqrt%2810%29%29%2F10\" = \"sqrt%2810%29%2F2\" = 1.581  (rounded).    ANSWER\r\n" );
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