Here
can be factored as
![x^2-7x+10=(x-2)(x-5)](https://tex.z-dn.net/?f=%20x%5E2-7x%2B10%3D%28x-2%29%28x-5%29%20)
Thus the given equation is
![(x-2)(x-5)=0\\ x=2,5](https://tex.z-dn.net/?f=%20%28x-2%29%28x-5%29%3D0%5C%5C%20x%3D2%2C5%20)
The solution of the equation
are 2,5.
Answer with Step-by-step explanation:
We are given that
Height of ball after t seconds is given by
![s(t)=-4t^2+20t+2](https://tex.z-dn.net/?f=s%28t%29%3D-4t%5E2%2B20t%2B2)
a.Substitute the value of t=1
![s(1)=-4(1)+20(1)+2=-4+20+2=18 ft](https://tex.z-dn.net/?f=s%281%29%3D-4%281%29%2B20%281%29%2B2%3D-4%2B20%2B2%3D18%20ft)
b.Differentiate w.r.t x
![s'(t)=-8t+20](https://tex.z-dn.net/?f=s%27%28t%29%3D-8t%2B20)
![s'(t)=0](https://tex.z-dn.net/?f=s%27%28t%29%3D0)
![-8t+20=0](https://tex.z-dn.net/?f=-8t%2B20%3D0)
![8t=20](https://tex.z-dn.net/?f=8t%3D20)
![t=\frac{20}{8}=2.5](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B20%7D%7B8%7D%3D2.5)
Again differentiate w.r.t t
![s''(t)=-8](https://tex.z-dn.net/?f=s%27%27%28t%29%3D-8%3C0)
Hence, the height is maximum at t=2.5 s
![s(2.5)=-4(2.5)^2+20(2.5)+2=27](https://tex.z-dn.net/?f=s%282.5%29%3D-4%282.5%29%5E2%2B20%282.5%29%2B2%3D27)
Maximum height of the baseball=27 ft
m∠AOC = 108°
m∠AOC = 3m∠AOB
⇒m∠AOB = (m∠AOC) / 3 = 108 / 3 = 36°
Answer:
Your answer would be 16 - 7 = 9.
You can simply add the two numbers and it would still give you the same answer, but I decided to just look for the number.
Step-by-step explanation:
I hope this helped solve your question.
Answer:
m= -2/3
Step-by-step explanation:
12-10/2-5
2/2-5
2/-3
-2/3