229,480 views
44 votes
44 votes
Please answer and show and explain your steps.

Please answer and show and explain your steps.-example-1
User Kamalone
by
2.4k points

1 Answer

22 votes
22 votes

Answer:


\displaystyle five\:seconds

Explanation:

Factour this trinomial. Now, as you can see, there is a negative inserted in front of the trinomial. If you are afraid of negatives, easily factour it out and begin the factorisation process:


\displaystyle -5t^2 + 23t + 10 \hookrightarrow 5t^2 - 23t - 10 \\ \\ [5t^2 - 25t] + [2t - 10] \\ 5t[t - 5]\:\:2[t - 5] \\ \\ [t - 5][5t + 2]

Set the factors equal to zero to determine the time:


\displaystyle 0 = [t - 5][5t + 2] \\ \\ -(2)/(5), 5 = t

*Time is NEVER negative, therefore it will take five seconds for the rocket to hit the ground.

I am joyous to assist you at any time.

User Desdenova
by
3.1k points