document.write( "Question 478578: Hi, my name is Brandon Jones. I'm in the 12th grade and I'm taking AP Calculus. School just started for me on Thursday, 08/04/11 and I am a little rusty. I am having trouble with solving for indicated variables. Here's one of the problems and what I have so far:\r
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document.write( "V=2(ab+bc+ac); a (looking for a)....this is what I got so far:V=2ab+2bc+2ac, then I did: V-2bc=2ab+2ac.....I'm stuck.
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document.write( "It would be great if I can see the steps and understand what I'm doing. Thanks! \n" );
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Algebra.Com's Answer #327897 by Theo(13342)![]() ![]() You can put this solution on YOUR website! V = 2*(ab + bc + ac) \n" ); document.write( "reorder the terms to get: \n" ); document.write( "V = 2*(ab + ac + bc) \n" ); document.write( "factor out the a to get: \n" ); document.write( "V = 2*(a(b+c) + bc) \n" ); document.write( "expand the equation to get: \n" ); document.write( "V = 2a(b+c)+2bc \n" ); document.write( "subtract 2bc from both sides of the equation to get: \n" ); document.write( "V-2bc = 2a(b+c) \n" ); document.write( "divide both sides by (b+c) to get: \n" ); document.write( "(V-2bc)/(b+x) = 2a \n" ); document.write( "divide both sides by 2 to get: \n" ); document.write( "(V-2bc)/(2(b+c)) = a \n" ); document.write( "commute to get: \n" ); document.write( "a = (V-2bc)/(2(b+c)) \n" ); document.write( "assuming a = 1, b = 2, c = 3, your original equation gets: \n" ); document.write( "V = 2*(2+6+3) = 2*11 = 22 \n" ); document.write( "plug the values for V and b and c into the final equation to get: \n" ); document.write( "(22-12)/(2(5)) = a which becomes: \n" ); document.write( "10/10 = 1 which is the value of a we started out with, so the conversion formula looks good. \n" ); document.write( "i think that's your answer. \n" ); document.write( "check it out for yourself to see if it works for you. \n" ); document.write( " \n" ); document.write( " |