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OpenStudy (jango_in_dtown):
bring it on
rebeccaxhawaii (rebeccaxhawaii):
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
OpenStudy (jango_in_dtown):
h = -16t² + 36t + 4.
When h= 0, we have
0= -16t² + 36t + 4.
or 16t² − 36t − 4.=0
or 4t² − 9t − 1.=0
→t=[ − (−9)±√{(−9)²− 4×4×(− 1)}]/(2×4)
=[ 9 ±√{81+ 16}]/(8)
=[ 9±√{97}]/(8)
=2. 356 Seconds
OpenStudy (jango_in_dtown):
it will hit the ground when h=0
OpenStudy (jango_in_dtown):
from it we caluculate for t, with the help of the given equation/ you will get two values: one positive and another one negative, but time cannot be negative. so we will take the positive value
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rebeccaxhawaii (rebeccaxhawaii):
so h = -16t2 + 36t + 4= 0 is in standard form by converting it into a quadratic equation will give me my answer right ?
OpenStudy (jango_in_dtown):
yeah right by putting h=0
rebeccaxhawaii (rebeccaxhawaii):
k thanks one more thing i was trying to solve this but i didnt get the right answer
OpenStudy (jango_in_dtown):
ok tell me
rebeccaxhawaii (rebeccaxhawaii):
h = -16t2 + 36t + 4
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rebeccaxhawaii (rebeccaxhawaii):
can you use the equation button by the typing box pllllssssssssssss when explaining it makes it easier to comprehend
OpenStudy (jango_in_dtown):
do you want me to solve it again? i mean the quadratic equation?
rebeccaxhawaii (rebeccaxhawaii):
yes pls
OpenStudy (jango_in_dtown):
we have
\[-16t^2+36t+4=0\] divide throughout by -4 and you have
\[4t^2-9t-1=0\]
OpenStudy (jango_in_dtown):
now you solve this quadratic
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rebeccaxhawaii (rebeccaxhawaii):
no wait sorry
rebeccaxhawaii (rebeccaxhawaii):
3x2 = 7x - 3
rebeccaxhawaii (rebeccaxhawaii):
3^2=7x-3
OpenStudy (jango_in_dtown):
\[3x^2=7x-3\]
implies
\[3x^2-7x+3=0\]
rebeccaxhawaii (rebeccaxhawaii):
can u solve it though
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OpenStudy (jango_in_dtown):
yeah obviously. The general quadratic form is
\[ax^2+bx+c=0\]
where a, b,c are constants. and the solution is given by
\[x=(-b \pm \sqrt{b^2-4ac})/2a\]
rebeccaxhawaii (rebeccaxhawaii):
mhmm
OpenStudy (jango_in_dtown):
here a=3,b=-7,c=3 now plug in the values of a,b,c in the above formula
OpenStudy (jango_in_dtown):
the answer is
\[x=(7\pm \sqrt{13})/6\]
OpenStudy (jango_in_dtown):
@rebeccaxhawaii
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rebeccaxhawaii (rebeccaxhawaii):
howd you get 13 i got 43
OpenStudy (jango_in_dtown):
\[(-7)^2-4*3*3=49-36=13\]
rebeccaxhawaii (rebeccaxhawaii):
oh duh i forgot about the exponent thanks
OpenStudy (jango_in_dtown):
n.p.
OpenStudy (jango_in_dtown):
ok bye. @rebeccaxhawaii
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rebeccaxhawaii (rebeccaxhawaii):
WAIT
rebeccaxhawaii (rebeccaxhawaii):
@jango_IN_DTOWN
OpenStudy (jango_in_dtown):
ok.. but tell me fast
rebeccaxhawaii (rebeccaxhawaii):
what did you get when solving the football player one
OpenStudy (jango_in_dtown):
2.356secs approx
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rebeccaxhawaii (rebeccaxhawaii):
no no just in quadratic form what was the form
OpenStudy (jango_in_dtown):
\[4t^2-9t-1=0\]
rebeccaxhawaii (rebeccaxhawaii):
no the quadradic formula
OpenStudy (jango_in_dtown):
Which part I cant get you
rebeccaxhawaii (rebeccaxhawaii):
what is the equation in quadratic form
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OpenStudy (jango_in_dtown):
-16t² + 36t + 4.=0
rebeccaxhawaii (rebeccaxhawaii):
no thats standard
OpenStudy (jango_in_dtown):
h = -16t² + 36t + 4.
When h= 0, we have
0= -16t² + 36t + 4.
or 16t² − 36t − 4.=0
or 4t² − 9t − 1.=0
→t=[ − (−9)±√{(−9)²− 4×4×(− 1)}]/(2×4)
=[ 9 ±√{81+ 16}]/(8)
=[ 9±√{97}]/(8)
=2. 356 Seconds
rebeccaxhawaii (rebeccaxhawaii):
no i just need the equation that is in standard form converted into quadratic form
OpenStudy (jango_in_dtown):
ohkar ax^2+bx+c=0
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rebeccaxhawaii (rebeccaxhawaii):
that is standard i need it in quadratic
OpenStudy (jango_in_dtown):
\[x=(-b \pm \sqrt{b^2-4ac})/2a\]
rebeccaxhawaii (rebeccaxhawaii):
yes what is the equation when converted to that form
OpenStudy (jango_in_dtown):
it is the solution of the standard form
rebeccaxhawaii (rebeccaxhawaii):
no can you convert -16t² + 36t + 4=0 into quadratic form
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OpenStudy (jango_in_dtown):
ok divide throught y -4 and you have
\[4t^2-9t-1=0\]
OpenStudy (jango_in_dtown):
\[t={-(-9)\pm \sqrt{(-9)^2-4*4*(-1)}}/(2*4)\]
rebeccaxhawaii (rebeccaxhawaii):
why is it like that now ?
rebeccaxhawaii (rebeccaxhawaii):
it was postitves before
OpenStudy (jango_in_dtown):
here b=-9 which is negative
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