Hey!
Let's write the problem.
![2x-4-5x=2](https://tex.z-dn.net/?f=2x-4-5x%3D2)
Add like terms...
![-3x-4=2](https://tex.z-dn.net/?f=-3x-4%3D2)
Add
![4](https://tex.z-dn.net/?f=4)
to both sides.
![-3x-4+4=2+4](https://tex.z-dn.net/?f=-3x-4%2B4%3D2%2B4)
![-3x=6](https://tex.z-dn.net/?f=-3x%3D6)
Divide both sides by
![-3](https://tex.z-dn.net/?f=-3)
.
![\frac{-3x}{-3}=\frac{6}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%7D%7B-3%7D%3D%5Cfrac%7B6%7D%7B-3%7D)
Our final answer would be,
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Thanks!
-TetraFish
Answer:
volume of cuboid=l×w×h
volume of cuboid=4×5×3=60cm³
The area is given by the integral,
![\displaystyle\int_{-1/2}^{1/2}(1-2x^2-|x|)\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F2%7D%5E%7B1%2F2%7D%281-2x%5E2-%7Cx%7C%29%5C%2C%5Cmathrm%20dx)
The integrand is even, so we can simplify the integral somewhat as
![\displaystyle2\int_0^{1/2}(1-2x^2-|x|)\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle2%5Cint_0%5E%7B1%2F2%7D%281-2x%5E2-%7Cx%7C%29%5C%2C%5Cmathrm%20dx)
When
, we have
, so this is also the same as
![\displaystyle2\int_0^{1/2}(1-2x^2-x)\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle2%5Cint_0%5E%7B1%2F2%7D%281-2x%5E2-x%29%5C%2C%5Cmathrm%20dx)
which has a value of
![2\left(x-\dfrac23x^3-\dfrac12x^2\right)\bigg|_0^{1/2}=2\left(\dfrac12-\dfrac1{12}-\dfrac18\right)=\boxed{\dfrac7{12}}](https://tex.z-dn.net/?f=2%5Cleft%28x-%5Cdfrac23x%5E3-%5Cdfrac12x%5E2%5Cright%29%5Cbigg%7C_0%5E%7B1%2F2%7D%3D2%5Cleft%28%5Cdfrac12-%5Cdfrac1%7B12%7D-%5Cdfrac18%5Cright%29%3D%5Cboxed%7B%5Cdfrac7%7B12%7D%7D)
so that A = 7.
Answer: 18.05556
Step-by-step explanation: 65 Kilometer/Hour (km/h) =. 18.05556 Meter/Second (m/s) Kilometer/Hour : Kilometers per hour (also spelling: kilometer per hour) is a unit of speed, defined as the number of kilometers travelled in one hour. The symbol of kilometer per hour is km/h or km•h−1.
Hopefully this helps :D