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Mumz [18]
3 years ago
5

​You are given a positive number p, but you are not told what the specific value of p is. A vertical light beam comes from high

above the plot of f[x] = x^2/(4 p) and bounces off the curve at a given point point {a, f[a]}. You are not told what the specific value of a is. Calculate in terms of p the point at which the reflected beam crosses the y-axis.​
Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Answer:

  (x, y) = (0, p)

Step-by-step explanation:

In the given equation, p is the distance from the vertex (0, 0) to the focus of the parabola. Any vertical "light beam" will bounce off the curve and pass through the focus at (0, p).

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Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

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By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

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The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

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