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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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elena55 [62]

Answer:

x = 29

Angle A = 46.4°

Angle B = 43.6°

Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

x = √(20² + 21²)

x = √(400 + 441)

x = √841

x = 29

Using trigonometric ratios we can find angles A and B.

Opposite is 20

Adjacent is 21

Thus; opp/adj = tan B

20/21 = tan B

B = tan^(-1) 0.9524

B = 43.6°

Sum of angles in a triangle is 180°. Thus;

A = 180 - (90 + 43.6)

A = 46.4°

4 0
2 years ago
Which graph represents the equation y = 2x + 1?
Alik [6]

Answer:

B, the second one.

Step-by-step explanation:

Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1,  so you would use rise over run to find the correct answer choice.

8 0
2 years ago
The average high temperature was 86° in august then 93° in September. What is the percent increase or decrease
SSSSS [86.1K]
The increase was 7 degrees
6 0
2 years ago
A chocolate shop sold 1 1/4 ounces of white chocolate. It sold 8 1/4 times as much milk chocolate as white chocolate. How many o
rjkz [21]

Answer:

10.3125 (NOT  ROUNDED)

Step-by-step explanation:

1. I changed it to decimals. 1/4 can easily be changed into a decimal.

2. I set 1/4 = x/100. Then cross multiplied. That would give you 4x = 100.

3. Now you would simplify that. x would be 25. So its 25/100 wich then turns to .25.

4. Now you are going to replace them so it would be 1.25 and 8.25.

5. To find out how much milk chocolate there was you would multiply 1.25 and 8.25.

6. That's your final answer

6 0
3 years ago
The function f(x) is graphed below. The domain of the function is​
GarryVolchara [31]

Answer:

[-1, infinity)

Step-by-step explanation:

The graphs starts from X=1 and remains defined from X =1 to infinity. The domain of the function is, thus, [-1, infinity)

5 0
3 years ago
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