document.write( "Question 1034375: Make V the subject:
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document.write( "R=(2r)/(2-V^2r)\r
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document.write( "Could you please give a step-by-step explanation Thanks! \n" );
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Algebra.Com's Answer #649006 by stanbon(75887) ![]() You can put this solution on YOUR website! Make V the subject: \n" ); document.write( "R=(2r)/(2-V^2r) \n" ); document.write( "------------- \n" ); document.write( "Note: I cannot tell if the exponent on V is 2 or 2r \n" ); document.write( "I'll assume it is 2 \n" ); document.write( "-------- \n" ); document.write( "Invert both sides to get: \n" ); document.write( "(2-V^2*r)/(2r) = 1/R \n" ); document.write( "--------- \n" ); document.write( "Multiply both sides by 2r to get: \n" ); document.write( "2-V^2*r = 2r/R \n" ); document.write( "--------- \n" ); document.write( "Subtract 2 from both sides to get: \n" ); document.write( "-V^2*r = [2r/R] - 2 \n" ); document.write( "--------] \n" ); document.write( "Divide both sides by -r to get: \n" ); document.write( "V^2 = [(2/r - 2/R] \n" ); document.write( "--------- \n" ); document.write( "Simplify the right side to get: \n" ); document.write( "V^2 = [(2R-2r)/(r*R)] \n" ); document.write( "Take the sqrt of both sides to get: \n" ); document.write( "V = sqrt[2(R-r)/(r*R)] \n" ); document.write( "-------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |