Answer:
Here is the complete question (attachment).
The function which represent the given points are 
Step-by-step explanation:
We know that a general exponential function is like, 
 
We can find the answer by hit and trial method by plugging the values of  coordinates.
 coordinates.
Here we are going to solve this with the above general formula.
So as the points are  then for
 then for 
Can be arranged in terms of the general equation.
 ...equation(1) and
...equation(1) and  ...equation(2)
...equation(2)

Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging  in equation 1.
 in equation 1.
We have 
Comparing with the general equation of exponential  and
 and 
So the function which depicts the above points =
From theoption we have B as the correct answer.
 
        
             
        
        
        
Answer:
The ship's horizontal distance from the lighthouse is approximately  1,303.03 feet.
Step-by-step explanation:
 
        
             
        
        
        
Answer: 0 = − 2, Is the answer I think. Sorry if it's wrong.
 
        
             
        
        
        
Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved
We have to prove that 
2/√3cosx + sinx  = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is 
 R.H.S = sec(Π/6-x)
           = 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
            = 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
            = 1/[√3/2cosx + 1/2sinx]
             = 1/(√3cosx + sinx]/2
             = 2/√3cosx + sinx
     R.H.S = L.H.S
Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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