Answer:
b.
Step-by-step explanation:
The given function is
![\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi](https://tex.z-dn.net/?f=%5Csec%20x%3D-%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%2C%5C%3A%5C%3Afor%5C%3A%5C%3A%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cle%20x%20%5Cle%20%5Cpi)
Recall that the reciprocal of the cosine ratio is the secant ratio.
This implies that;
![\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ccos%20x%7D%3D-%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D)
![\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%20x%3D-%5Cfrac%7B3%7D%7B2%5Csqrt%7B3%7D%20%7D)
![\Rightarrow \cos x=-\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%20x%3D-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
We take the inverse cosine of both sides to obtain;
![x=\cos^{-1}(-\frac{\sqrt{3}}{2})](https://tex.z-dn.net/?f=x%3D%5Ccos%5E%7B-1%7D%28-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29)
25 because it said the head of the fish in 10 the fishes tail is the same 10 plus half witch is 5 so if u add it you get 25
Answer:
74 and 740
Step-by-step explanation:
Answer:
For the given functions, the value of g(5)-f(5) = 17
Step-by-step explanation:
Here, the given functions are:
f(x) = -3x + 17
![g(x) = x ^2 - 6](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%20%5E2%20-%206)
So, f(5) = -3(5) + 17
= -15 + 17 = 2
And ![g(5) = (5)^2 - 6 = 25 - 6 = 19](https://tex.z-dn.net/?f=g%285%29%20%3D%20%285%29%5E2%20%20-%206%20%20%3D%2025%20-%206%20%20%3D%2019)
So, f(5) = 2 and g(5) = 19
⇒g(5) - f(5) = 19 - 2 = 17
Hence, for the given functions, the value of g(5)-f(5) = 17