document.write( "Question 1189964: 1. If r varies directly as s and inversely as the square of u, and r = 2 when s = 18 and u= 2, find:
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\n" ); document.write( "b. s when u = 2 and r = 4.
\n" ); document.write( "c. u when r = 1 and s = 36.
\n" ); document.write( "please show your solution. \n" ); document.write( "

Algebra.Com's Answer #821490 by ikleyn(52781) $\"\"$ $\"About$

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.
\n" ); document.write( "1. If r varies directly as s and inversely as the square of u, and r = 2 when s = 18 and u= 2, find:
\n" ); document.write( "a. r when u = 3 and s =27.
\n" ); document.write( "b. s when u = 2 and r = 4.
\n" ); document.write( "c. u when r = 1 and s = 36.
\n" ); document.write( "please show your solution.
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document.write( "If  r varies directly as s and inversely as the square of u,  it means that\r\n" );
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document.write( "    r = ,      (1)\r\n" );
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document.write( "where the coefficient \"k\" is a constant, now unknown.\r\n" );
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document.write( "To find \"k\", use the given condition that r= 2 wnen  s= 18  and  u= 2.\r\n" );
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document.write( "Substitute these values into equation (1). It will give you\r\n" );
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document.write( "    2 = ,  \r\n" );
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document.write( "or  \r\n" );
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document.write( "    2 = .\r\n" );
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document.write( "Hence,  k =  = .\r\n" );
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document.write( "So, the formula (1)  takes the form  \r\n" );
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document.write( "    r = .\r\n" );
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document.write( "Now you know \"r\" as a function of \"s\" and \"u\" and can calculate \"r\" for any given values of \"s\" and \"u\".\r\n" );
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document.write( "For example, in case (a)  r =  =  =  = .\r\n" );
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document.write( "Similarly, you can calculate values of \"r\" in cases (b) and (c).\r\n" );
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document.write( "Make this calculations on your own to make sure  that you do understand the procedure.\r\n" );
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document.write( "You may report me about your progress.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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