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ElenaW [278]
3 years ago
12

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x^2=4y around

its axis of symmetry (assume that x and y are in units of inches). In order to have the brightest, most concentrated light beam, how far from the vertex should the bulb be placed? Express your answer as a fraction or a decimal rounded to two decimal places.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

  1.00 inches

Step-by-step explanation:

The distance from vertex to focus is "p" in the quadratic equation ...

  x^2 = 4py

In the given equation, p=1. Since units are inches, ...

the bulb should be placed 1.00 inches from the vertex.

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Write each fraction or mixed number as a decimal. Use bar notation if needed. Please help and thank you.
11Alexandr11 [23.1K]

You can use your calculator to divide it out and find that

-\dfrac{8}{11}=-0.\overline{72}

or, you can make use of your knowledge of the decimal equivalent if 1/11 (=0.90909...) and multiply that by -8 to get -0.727272... as above.

5 0
2 years ago
Help plzzzz it’s a timed test
ad-work [718]

Answer:

k= -1. 1

Step-by-step explanation:

distribution the 8

32k- 8k=-5k -32 then bring the K to the other side and add .

29k=-32 then divide and you get

k= -1.1 rounded

5 0
3 years ago
Directions: List all the factors of each number.
tatiyna

Answer:

Step-by-step explanation:

The factors of each numbers are

1) 6 = 1, 2, 3 and 6

2) 35 = 1, 5, 7 and 35

3) 19 = 1, 19

4) 39 = 1, 3, 13 and 39

5) 44 = 1, 2, 4, 11, 22 and 44

6) 64 = 1, 2, 4, 8, 16, 32 and 64

7) 56 = 1, 2, 4, 7, 8, 14, 28 and 56

8) 80 = 1, 2, 4, 8, 10, 16, 20, 40 and 80

prime numbers are whole numbers that only has two factors which are itself and one while composite numbers have more than two factors

The list of composite and prime numbers are

9) 18 composite

10) 3 prime

11) 19 prime

12) 102 composite

13) 41 prime

14) 63 composite

15) 11 prime

16) 51 composite

3 0
3 years ago
Find the area of the trapezoidal prism?
Olenka [21]

Answer: The formula is (b1 + b2)h+PH

Step-by-step explanation:

4 0
3 years ago
What is the value of r?
s2008m [1.1K]

Answer:

Since opposite sides of parallelogram are equal therefore

9r-6=8r+3

r=9

EF=4r+19{opposite sides of parallelogram are equal}

=4×9+19

36+19

=55

Here is you answer.

Step-by-step explanation:

5 0
3 years ago
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