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anonymous
 one year ago
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 36t + 4.
quantity of 9 plus or minus square root of 65 all over 8
9 plus or minus square root of 65 end root over 8
quantity of 9 plus or minus square root of 97 all over 8
9 plus or minus square root of 97 end root over 8
anonymous
 one year ago
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 36t + 4. quantity of 9 plus or minus square root of 65 all over 8 9 plus or minus square root of 65 end root over 8 quantity of 9 plus or minus square root of 97 all over 8 9 plus or minus square root of 97 end root over 8

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You need to find time \(t\) when the ball is at height \(h(t) = 0\), i.e. solve the quadratic equation\[16t^2+36t+4 = 0\]Can you do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Notice that there is a common factor of 4. First thing I would do is factor out the 4. Then apply the quadratic formula to get your answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sim36+square root of (36)^2 4(16)(4)/2(16)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK but then it will need to be simplified by factoring out common factors. It is easier to do this beforehand. simplify\[16x^2+36x+4=0\]by factoring out a common factor of 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so the answer is 9 square root 65 all over 8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite. I assume you've factored out the 4 to get\[4x^2 + 9x + 1 = 0\]Now apply the quadratic formula with a=4, b=9, and c=1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[x=\frac{ 9 \pm \sqrt{9^24(4)(1)} }{ 2(4) } = ?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it the whole thing over 8?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.09+square root of 97/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Very good. Now you a negative divide by a negative. So it can be simplified a tiny bit more to get your final answer.
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