document.write( "Question 1057399: Gabe drops a hammer from an apartment that is 30 meters above the
\n" ); document.write( "ground. The height of the hammer in meters, ℎ, after t seconds is modeled by
\n" ); document.write( "the function shown.
\n" ); document.write( "ℎ(t) = −t^2 − 2t + 30
\n" ); document.write( "Find the approximate number of seconds it will take for the hammer to hit the
\n" ); document.write( "ground. Round your answer to the nearest whole number.
\n" ); document.write( "□ 0
\n" ); document.write( "□ 5
\n" ); document.write( "□ 10
\n" ); document.write( "□ 30
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Algebra.Com's Answer #672468 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The hammer has to fall 30 m
\n" ); document.write( "and the height, \"+h%28t%29+=+0+\"
\n" ); document.write( "\"+-t%5E2+-+2t+%2B+30+=+0+\"
\n" ); document.write( "use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-1+\"
\n" ); document.write( "\"+b+=+-2+\"
\n" ); document.write( "\"+c+=+30+\"
\n" ); document.write( "
\n" ); document.write( "\"+t+=+%28+2+%2B-+sqrt%28+4+%2B+120+%29%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+t+=+%28+2+%2B-sqrt%28+124+%29+%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+t+=+%28+2+-+11.136+%29+%2F+%28-2%29+\" ( I used the negative square root to make
\n" ); document.write( "the time, \"+t+\", come out positive )
\n" ); document.write( "\"+t+=+%28+-9.136+%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+t+=+4.568+\"
\n" ); document.write( "The hammer hits the ground in 5 sec
\n" ); document.write( "( rounded off )
\n" ); document.write( "--------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+-t%5E2+-+2t+%2B+30+=+0+\"
\n" ); document.write( "\"+-1%2A%284.568%5E2%29+-+2%2A4.568+%2B+30+=+0+\"
\n" ); document.write( "\"+-1%2A20.867+-+9.136+%2B+30+=+0+\"
\n" ); document.write( "\"+-30.003+%2B+30+=+0+\"
\n" ); document.write( "OK -close enough\r
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