0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2
You just need to solve for when
:
![\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccos8t-9%5Csin8t%7D4%3D0%5Cimplies%5Ccos8t-9%5Csin8t%3D0)
![\implies\cos8t=9\sin8t](https://tex.z-dn.net/?f=%5Cimplies%5Ccos8t%3D9%5Csin8t)
![\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac19%3D%5Cdfrac%7B%5Csin8t%7D%7B%5Ccos8t%7D%3D%5Ctan8t)
![\implies8t=\tan^{-1}\dfrac19+n\pi](https://tex.z-dn.net/?f=%5Cimplies8t%3D%5Ctan%5E%7B-1%7D%5Cdfrac19%2Bn%5Cpi)
![\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8](https://tex.z-dn.net/?f=%5Cimplies%20t%3D%5Cdfrac18%5Ctan%5E%7B-1%7D%5Cdfrac19%2B%5Cdfrac%7Bn%5Cpi%7D8)
where
is any integer. We only care about when
, which happens for
.
![t=\dfrac18\tan^{-1}\dfrac19\approx0.01](https://tex.z-dn.net/?f=t%3D%5Cdfrac18%5Ctan%5E%7B-1%7D%5Cdfrac19%5Capprox0.01)
![t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41](https://tex.z-dn.net/?f=t%3D%5Cdfrac18%5Ctan%5E%7B-1%7D%5Cdfrac19%2B%5Cdfrac%5Cpi8%5Capprox0.41)
![t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80](https://tex.z-dn.net/?f=t%3D%5Cdfrac18%5Ctan%5E%7B-1%7D%5Cdfrac19%2B%5Cdfrac%5Cpi4%5Capprox0.80)
Answer:
x=36
Step-by-step explanation:
17+3 =20
now we have :
x+4
___ = 20
2
20*2= 40
x+4=40
x=36
hopes this helps
1.
Calculate the sum
5x - 10 + 7 = 65 - 20x + 32
Move terms
5x - 3 = 97 - 20x
Collect the like terms and calculate
5x + 20x = 97 +3
Divide both sides by 25
25x = 100
X= 4 ANSWER
I skipped some steps because it would be too long :/
2.
Multiply parenthesis by 8
20x>8(4x - 5) -20
Calculate
20x>32x - 40 - 20
Move variable to the left
20x>32x-60
Collect like terms
20x - 32x > -60
Divide both sides by -12
-12x>-60
X<5 ANSWER
Answer:
y = -
x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = -
and c = - 8, hence
y = -
x - 8 ← linear equation