9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Additional information to complete the question:
How long does it take for a short pulse of light to travel from one end of the glass to the other?
Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.
T = ___________ s
Answer:

Step-by-step explanation:
Given:
Thickness og glass = L
Index of refraction n=1.5
Frequency = f

λ(air) 
λ(glass) = λ(air) / n
= 
= 
= 
V(glass) = fλ(glass)


In 22, you're looking for the vertical height of the triangle. You're given the angle opposite the side you want to find (which I'll call

) and the length of the hypotenuse. This sets you up with the relation

In 23, you're given a similar situation, except now you're looking for the angle (I'll call it

) in the triangle opposite the side denoting the height of the airplane. So this time,