document.write( "Question 553584: Hello! I have a word problem and I have no idea how to solve it, if you could solve it and show me the steps:
\n" ); document.write( "A rock is thrown from a top of the tall building. The distance,in feet, between the rock and the ground t seconds after it is thrown is given by d= -16t^2-4t+412. How long after the rock is thrown is it 400 feet from the ground? (answer should be in decimal form)
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Algebra.Com's Answer #360958 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Start with:
\n" ); document.write( "\"d+=+-16t%5E2-4t%2B412\" You are being asked to solve this equation for t when d (distance from the ground) is 400, so you substitute d = 400.
\n" ); document.write( "\"400+=+-16t%5E2-4t%2B412\" Subtract 400 from both sides.
\n" ); document.write( "\"0+=+-16t%5E2-4t%2B12\" Factor -4 to make it a little easier to solve.
\n" ); document.write( "\"-4%284t%5E2%2Bt-3%29+=+0\" Factor the trinomial.
\n" ); document.write( "\"4t%5E2%2Bt-3+=+%284t-3%29%28t%2B1%29\" so now you have:
\n" ); document.write( "\"-4%284t-3%29%28t%2B1%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"-4+=+0\" or \"4t-3+=+0\" or \"t%2B1+=+0\"
\n" ); document.write( "\"-4+=+0\" No way!
\n" ); document.write( "\"4t-3+=+0\" so \"4t+=+3\" and \"t+=+3%2F4\" or \"highlight%28t+=+0.75%29\"
\n" ); document.write( "\"t%2B1+=+0\" so \"t+=+-1\" Discard this solution as the time must be a positive quantity.
\n" ); document.write( "The rock will be 400 feet from the ground in 0.75 seconds.\r
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