document.write( "Question 1132614: The line y=-12/5 x+ 2 is exactly 3 units away from two other lines parallel to it. The distance, in units, between the y-intercepts of these two other lines is...
\n" ); document.write( "A)12 3/4 B)10 2/3 C)14 1/5 D)15 3/5 E)13 5/6
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Algebra.Com's Answer #749702 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The line \"y=-%2812%2F5%29+x%2B+2\" is exactly \"3\" units away from two other lines parallel to it. \r
\n" ); document.write( "\n" ); document.write( "\"y=-%2812%2F5%29+x%2B+2\"...both sides multiply by \"5\"\r
\n" ); document.write( "\n" ); document.write( "\"5y=-12+x%2B+10\"\r
\n" ); document.write( "\n" ); document.write( "\"12x+%2B+5y+-+10+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "The distance from a point (\"x\",\"+y\") to a line \"ax+%2B+by+%2B+c+=+0\" is given by \r
\n" ); document.write( "\n" ); document.write( " distance = \"ax+%2B+by+%2B+c%29%2Fsqrt%28a%5E2%2Bb%5E2%29+\"\r
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\n" ); document.write( "\n" ); document.write( "You have the line \r
\n" ); document.write( "\n" ); document.write( "\"12x+%2B+5y+-+10+=+0+\"=>\"a=12\",\"b=5\",\"c=10\"\r
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\n" ); document.write( "\n" ); document.write( "You want the distance from y-intercept point (\"0\", \"y\") to be \"3\". \r
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\n" ); document.write( "\n" ); document.write( "\"%2812%2A0+%2B+5%2Ay+-+10%29%2Fsqrt%2812%5E2%2B5%5E2%29++=+3+\"\r
\n" ); document.write( "\n" ); document.write( "\"%285%2Ay+-+10%29%2Fsqrt%28169%29++=+3+\"\r
\n" ); document.write( "\n" ); document.write( "\"%285%2Ay+-+10%29%2F13+=+3+\" ... multiply by 13 \r
\n" ); document.write( "\n" ); document.write( "\"5%2Ay+-+10+=+39+\"\r
\n" ); document.write( "\n" ); document.write( "\"5%2Ay++=+39%2B10+\"\r
\n" ); document.write( "\n" ); document.write( "\"5%2Ay++=+49\"\r
\n" ); document.write( "\n" ); document.write( "\"y++=+49%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "This has two solutions:
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\n" ); document.write( "\"+5y+-+10+=+39\"
\n" ); document.write( "\"+y+=+49%2F5+\"\r
\n" ); document.write( "\n" ); document.write( "And
\n" ); document.write( "\"+5y+-+10+=+-39+\"
\n" ); document.write( "\"+y+=+-29%2F5+\"\r
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\n" ); document.write( "\n" ); document.write( "The difference of these two y-intercept values is
\n" ); document.write( "\"+49%2F5+-+%28-29%29%2F5+=+78%2F5+=+15.6+\"=>\"15\"\"6%2F10\"=>\"15\"\"3%2F5\"\r
\n" ); document.write( "\n" ); document.write( "answer: D)\"15\"\"+3%2F5\"\r
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