If 2<=<14, which two lines are parallel ?
1 answer:
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Answer:
Option D.
Step-by-step explanation:
The given expression is
It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.
It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.
It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.
It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
where a=-16, b=122, and c=198
or 
or 
or 
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.