document.write( "Question 1040804: On a number line, point B is at a distance of 5 from point C, and point D is at a distance of 7 from point C. What is the distance from point B to point D? Please help \n" ); document.write( "

Algebra.Com's Answer #655764 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "On a number line, point B is at a distance of 5 from point C, and point D is at a distance of 7 from point C.
\n" ); document.write( "What is the distance from point B to point D? Please help
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document.write( "Case 1. The points B and D are on one side from C (let say, both B and D are to the left from C). \r\n" );
document.write( "Then |B-D| = |7-5| = 2.  The distance between B and D is 2 units.\r\n" );
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document.write( "Case 2. The points B and D are on one side from C (let say, both B and D are to the right from C). \r\n" );
document.write( "Then |B-D| = |7-5| = 2.  The distance between B and D is 2 units.  Same as Case 1.\r\n" );
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document.write( "Case 3. The points B and D are on different sides from C (let say, B is on the left side, while D is on the right side from C). \r\n" );
document.write( "Then |B-D| = |7+5| = 12.  The distance between B and D is 12 units.\r\n" );
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document.write( "Case 4. The points B and D are on different sides from C (let say, B is on the right side, while D is on the left side from C). \r\n" );
document.write( "Then the distance |B-D| = |7+5| = 12.  The distance between B and D is 12 units.  Same as Case 3.\r\n" );
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document.write( "5. There are no other cases.\r\n" );
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document.write( "Answer.  There are two solutions and exactly two possibilities: |B-D| = 2 or 12.\r\n" );
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