document.write( "Question 860523: I need some help figuring out the steps to solve this problem.
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document.write( "Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x + 2y - 6 = 0.
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document.write( "a-41 degrees
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document.write( "b-80
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document.write( "c-81
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document.write( "d-40
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document.write( "Thank you for your help! \n" );
document.write( "
Algebra.Com's Answer #518465 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x + 2y - 6 = 0. \n" ); document.write( "Form: Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 \n" ); document.write( "----- \n" ); document.write( "cot(2t) = (A-C)/B \n" ); document.write( "cot(2t) = (-3-5)/3 = -8/3 \n" ); document.write( "tan(2t) = -3/8 \n" ); document.write( "2t = arctan(-5/8) = 170.56 \n" ); document.write( "t = 85.28 degrees \n" ); document.write( "-------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a-41 degrees \n" ); document.write( "b-80 \n" ); document.write( "c-81 \n" ); document.write( "d-40 \n" ); document.write( " \n" ); document.write( " |