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OpenStudy (ladiesman217):
If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation\[h=-16t^{2}+64t+4\]
choices
\[2\pm \frac{ \sqrt{17} }{ 2}\]
\[\frac{ 2\pm \sqrt{17} }{ 2 }\]
\[2\pm4\sqrt{17}\]
\[\frac{ 16\pm \sqrt{17} }{ 2 }\]
OpenStudy (anonymous):
Solve by using the quadratic method \[ x= \frac{(-b \pm \sqrt{b^2-4ac})}{2a }\]
OpenStudy (anonymous):
\[h=-16^2t+64t=4\] Where 16=a 64=b and 4=c
OpenStudy (ladiesman217):
\[\frac{ 64\sqrt{3840} }{ 32 }\]
OpenStudy (goformit100):
For Solving this Question, I would like to ask you that, do you have the detailed conception of : Roots
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OpenStudy (ladiesman217):
@Hope_nicole can you help
OpenStudy (ladiesman217):
im ok with perfect squares
OpenStudy (anonymous):
use the equation that @jperez570 told you
OpenStudy (ladiesman217):
i have and after simplifying everything in the radical i get
\[\frac{ 64\pm \sqrt{3840} }{ 32 }\]
OpenStudy (anonymous):
well you can simplify first, right?
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OpenStudy (ladiesman217):
ya which part
OpenStudy (anonymous):
you tell me and @jperez570 please make sure i do it right!
OpenStudy (ladiesman217):
the 64
OpenStudy (anonymous):
okay, so now that you know that, you can have 2+- sqrt3840/32
OpenStudy (ladiesman217):
ok and then the denominator 32
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OpenStudy (anonymous):
yeah thats what the =32 is, so now you have sqrt3840, do you remember factor trees?
OpenStudy (ladiesman217):
ya
OpenStudy (anonymous):
okay so do that with 3840
OpenStudy (ladiesman217):
mine comes out to\[2\sqrt{2*2*2*2*2*2*2*2*3*5}\]
OpenStudy (anonymous):
im not sure how you got that..
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OpenStudy (ladiesman217):
i dont no either
OpenStudy (anonymous):
the part you have underneath the sqrt is right, the 2 outside though shouldnt be there.
OpenStudy (anonymous):
ok first use the quadratic equation in which you all ready have a, b, and c now just solve
OpenStudy (anonymous):
when it comes down to the square root you need to know how to solve it before you advance
OpenStudy (ladiesman217):
ok i cant figure it out i keep on coming up with\[\sqrt{3840}\]
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OpenStudy (anonymous):
ok what two number multiplied together give you 3840? **Hint** one number HAS to have a square root
OpenStudy (ladiesman217):
64
OpenStudy (anonymous):
ok what two numbers?
OpenStudy (ladiesman217):
8
OpenStudy (anonymous):
64*8=3840? you sure?
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OpenStudy (ladiesman217):
64*60=3840
OpenStudy (anonymous):
what is the square root of 64
OpenStudy (ladiesman217):
8
OpenStudy (anonymous):
ok now you pull that out and you have \[8\sqrt{60}\] now that you have that you can still simplify or no?
OpenStudy (ladiesman217):
ya
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OpenStudy (anonymous):
ok what two numbers give you 60 but with one has a square root
OpenStudy (ladiesman217):
4*15
OpenStudy (anonymous):
whats the square root of 4?
OpenStudy (ladiesman217):
2
OpenStudy (ladiesman217):
\[16\sqrt{15}\]
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OpenStudy (anonymous):
ok so now \[8(2)\sqrt{15}\] right?
OpenStudy (ladiesman217):
correct but \[\sqrt{15}\] isnt involved in any of the choices
OpenStudy (anonymous):
then you probably did something wrong make sure you have checked all your work you might have forgotten about a number or a negative sign
OpenStudy (ladiesman217):
i have
OpenStudy (anonymous):
best thing to do is redo the work make sure you do it slow and double check as you go on
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OpenStudy (ladiesman217):
ok
OpenStudy (ladiesman217):
i have double check it and still the same thing i dont know whats going on
OpenStudy (anonymous):
ask your teacher
OpenStudy (ladiesman217):
its an online class
OpenStudy (anonymous):
yea call her and go step by step and see what you're doing wrong
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