document.write( "Question 882860: A field microphone used at a soccer game has a parabolic cross section and is 24 inches wide at the opening. The focus is 16 inches from the vertex. Find the depth of the microphone. \n" ); document.write( "
Algebra.Com's Answer #533665 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A field microphone used at a soccer game has a parabolic cross section and is 24 inches wide at the opening. The focus is 16 inches from the vertex. Find the depth of the microphone. \n" ); document.write( "*** \n" ); document.write( "Consider the microphone like a parabola that opens right with vertex at the origin. \n" ); document.write( "Its basic equation: y^2=4px \n" ); document.write( "For given parabolic microphone: \n" ); document.write( "p=16 \n" ); document.write( "4p=64 \n" ); document.write( "equation: y^2=64x \n" ); document.write( "12^2=64x \n" ); document.write( "144=64x \n" ); document.write( "x=144.64/64 \n" ); document.write( "x=2.25 \n" ); document.write( "depth of the microphone=2.25 inches \n" ); document.write( " |