document.write( "Question 1092167: What is the largest value of y such that the point (8, y, 10) is 7 units away from the point (6, 9, 4)? \n" ); document.write( "

Algebra.Com's Answer #706724 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "Write the equation of a sphere of the radius of 7 units and centered at the point (6,9,4):\r\n" );
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document.write( " = \r\n" );
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document.write( "and substitute there x = 8 and z = 10. You will get\r\n" );
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document.write( " = 49,   or\r\n" );
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document.write( " = 49,   or\r\n" );
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document.write( " = 49 - 4 - 36 = 9.\r\n" );
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document.write( "Then take the square root of both sides to get\r\n" );
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document.write( "y - 9 = +/-  = +/- 3.\r\n" );
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document.write( "So, \"y\" may have only TWO values y = 9+3 = 12  or/and  y = 9-3 = 6.\r\n" );
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document.write( "Of them, the largest is y = 12 units.\r\n" );
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