document.write( "Question 828291: At 1 pm, ship a leaves port heading due west at x miles per hour. two hours later ship B is 100 miles due south of the same port and heading due north at y miles per hour. at 5 pm how far apart are the ship.
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document.write( "Actually i could not understand the meaning of this problem...please elaborate it.. \n" );
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Algebra.Com's Answer #499216 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "the problem tries to confuse you, but it's basically describing a right triangle, and asking you to find the hypotenuse, given the two legs. \n" ); document.write( "--- \n" ); document.write( "find the position of both ships at 5 pm so we know the length of legs a and b: \n" ); document.write( "--- \n" ); document.write( "speed and distance formulas: \n" ); document.write( "s = d/t \n" ); document.write( "d = t*s \n" ); document.write( "--- \n" ); document.write( "ship1 at 5 pm: \n" ); document.write( "time = 5 - 1 = 4 hours \n" ); document.write( "speed x m/hr \n" ); document.write( "position = 4x west of harbor \n" ); document.write( "a = 4x \n" ); document.write( "--- \n" ); document.write( "ship2 at 5 pm: \n" ); document.write( "time = 5 - 3 = 2 hours \n" ); document.write( "speed y m/hr \n" ); document.write( "position = (100-2y) south of harbor \n" ); document.write( "b = (100-2y) \n" ); document.write( "--- \n" ); document.write( "the positions of the ships are perpendicular relative to the harbor, so the ship positions form the legs of the right triangle, and the harbor is the 90 degree vertex. \n" ); document.write( "--- \n" ); document.write( "hyp = sqrt( aa + bb ) \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "hyp = sqrt( 16xx + (100-2y)(100-2y) ) \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |