I'm guessing the equation is supposed to read
![\tan\left(\dfrac{5\pi}7 x\right) + \sqrt3 = 0](https://tex.z-dn.net/?f=%5Ctan%5Cleft%28%5Cdfrac%7B5%5Cpi%7D7%20x%5Cright%29%20%2B%20%5Csqrt3%20%3D%200)
Move the constant term to the other side:
![\tan\left(\dfrac{5\pi}7 x\right) = -\sqrt3](https://tex.z-dn.net/?f=%5Ctan%5Cleft%28%5Cdfrac%7B5%5Cpi%7D7%20x%5Cright%29%20%3D%20-%5Csqrt3)
Take the inverse tangent of both sides:
![\tan^{-1}\left(\tan\left(\dfrac{5\pi}7 x\right)\right) = \tan^{-1}\left(-\sqrt3\right) + n\pi](https://tex.z-dn.net/?f=%5Ctan%5E%7B-1%7D%5Cleft%28%5Ctan%5Cleft%28%5Cdfrac%7B5%5Cpi%7D7%20x%5Cright%29%5Cright%29%20%3D%20%5Ctan%5E%7B-1%7D%5Cleft%28-%5Csqrt3%5Cright%29%20%2B%20n%5Cpi)
(where n is an integer)
![\dfrac{5\pi}7 x = - \tan^{-1}\left(\sqrt3\right) + n\pi](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5Cpi%7D7%20x%20%3D%20-%20%5Ctan%5E%7B-1%7D%5Cleft%28%5Csqrt3%5Cright%29%20%2B%20n%5Cpi)
Since tan(π/3) = √3, we get
![\dfrac{5\pi}7 x = -\dfrac\pi3 + n\pi](https://tex.z-dn.net/?f=%5Cdfrac%7B5%5Cpi%7D7%20x%20%3D%20-%5Cdfrac%5Cpi3%20%2B%20n%5Cpi)
and solving for x gives
![\boxed{x = -\dfrac7{15} + \dfrac{7n}5}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%20-%5Cdfrac7%7B15%7D%20%2B%20%5Cdfrac%7B7n%7D5%7D)
Answer:
so you will need to start with the column that has 2 answers in it. 12.5+15= 27.5 will go in the next box.
Step-by-step explanation:
Answer:
R² = 0.964
Step-by-step explanation:
y = 1.9694x - 0.6122
R² = 0.964
-1.5
Step-by-step explanation:
So, you do 7.25 - 1 (because it is) and you get 6.25. Make it a fraction inton 25/4 and divide bu 75/8 (9 3/8 simplified) and you get -1.5 voila.