Answer:
im sorry I just need to us ur page to right on
So we are given a system:
![3x-2y+3z=0\\ -3x - 5y - 5z= -21](https://tex.z-dn.net/?f=3x-2y%2B3z%3D0%5C%5C%0A-3x%20-%205y%20-%205z%3D%20-21)
Substitute x = 2 we get the system:
![-2y+3z=-6\\ - 5y - 5z= -15](https://tex.z-dn.net/?f=-2y%2B3z%3D-6%5C%5C%0A-%205y%20-%205z%3D%20-15)
Multiply the first equation by -5 and the second by 2 we get the system:
![10y-15z=30\\ - 10y - 10z= -30](https://tex.z-dn.net/?f=10y-15z%3D30%5C%5C%0A-%2010y%20-%2010z%3D%20-30)
Adding the two equations we get :
![-25z=0\text{ then}z=0.](https://tex.z-dn.net/?f=-25z%3D0%5Ctext%7B%20then%7Dz%3D0.)
We find the value of y by using any of the other equations like this:
![-2y=-6\\y=3.](https://tex.z-dn.net/?f=-2y%3D-6%5C%5Cy%3D3.)
Final solution:
Answer:
2.04 seconds
Step-by-step explanation:
Falling objects near the surface of the earth have an acceleration of -9.81 m/s².
Acceleration is the change in velocity over change in time:
a = (v − v₀) / t
-9.81 = (-30.0 − (-10.0)) / t
-9.81 = -20.0 / t
t = 2.04
It takes 2.04 seconds.
Idk what awser is just tryns get points
Answer:
The height of the vase is ![h=10.75\ cm](https://tex.z-dn.net/?f=h%3D10.75%5C%20cm)
Step-by-step explanation:
we know that
The volume of a cone is equal to
![V=\frac{1}{3}\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7D%20h)
we have
![V=45\ cm^{3}](https://tex.z-dn.net/?f=V%3D45%5C%20cm%5E%7B3%7D)
![r=2\ cm](https://tex.z-dn.net/?f=r%3D2%5C%20cm)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute and solve for h
![45=\frac{1}{3}(3.14)(2)^{2} h](https://tex.z-dn.net/?f=45%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%282%29%5E%7B2%7D%20h)
![135=(3.14)(4)h](https://tex.z-dn.net/?f=135%3D%283.14%29%284%29h)
![135=12.56h](https://tex.z-dn.net/?f=135%3D12.56h)
![h=135/12.56](https://tex.z-dn.net/?f=h%3D135%2F12.56)
![h=10.75\ cm](https://tex.z-dn.net/?f=h%3D10.75%5C%20cm)