Answer:
A. Adjacent
Step-by-step explanation:
![y=\frac{1}{2}x+3 \parallel y=mx+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B3%20%5Cparallel%20y%3Dmx%2Bb)
Two lines are parallel when their slopes are the same.
Answer:
(0,4) is the y intercept for function A
(0,3) is the y intercept for function B
so function A has the greatest y intercept
Step-by-step explanation:
1/3 because on total has to be 1 or 9/9 but if she use 3 yards of 9/9 then she use 3/9 and if you simplify is 1/3
With
and
, we have
![z(t)=x(t)^2+4y(t)^2+1](https://tex.z-dn.net/?f=z%28t%29%3Dx%28t%29%5E2%2B4y%28t%29%5E2%2B1)
![z(t)=\cos^2t+4\sin^2t+1](https://tex.z-dn.net/?f=z%28t%29%3D%5Ccos%5E2t%2B4%5Csin%5E2t%2B1)
![z(t)=3\sin^2t+2](https://tex.z-dn.net/?f=z%28t%29%3D3%5Csin%5E2t%2B2)
Then
has critical points where
![\dfrac{\mathrm dz}{\mathrm dt}=6\sin t\cos t=3\sin2t=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dz%7D%7B%5Cmathrm%20dt%7D%3D6%5Csin%20t%5Ccos%20t%3D3%5Csin2t%3D0)
![\implies\sin2t=0\implies2t=n\pi\implies t=\dfrac{n\pi}2](https://tex.z-dn.net/?f=%5Cimplies%5Csin2t%3D0%5Cimplies2t%3Dn%5Cpi%5Cimplies%20t%3D%5Cdfrac%7Bn%5Cpi%7D2)
where
is any integer.
is increasing wherever
, which happens for
![\dfrac{2n\pi}2](https://tex.z-dn.net/?f=%5Cdfrac%7B2n%5Cpi%7D2%3Ct%3C%5Cdfrac%7B%282n%2B1%29%5Cpi%7D2)
![\boxed{n\pi](https://tex.z-dn.net/?f=%5Cboxed%7Bn%5Cpi%3Ct%3C%5Cdfrac%7B%282n%2B1%29%5Cpi%7D2%7D)