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Nimfa-mama [501]
3 years ago
15

What are the focus and directrix of the parabola with the equation y=1/12 x^2

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
<h2>Answer:</h2>

\boxed{y=-3}

<h2>Step-by-step explanation:</h2>

The graph of this parabola is shown below. From this graph we know that:

VERTEX:

(h,k)=(0,0)

DIRECTIX:

Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:

x^2=4py

So:

y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3

Then the directrix is:

y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}

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The binomial distribution and the hypergeometric distribution are quite similar, as:

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A similar problem is given at brainly.com/question/21772486

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2 years ago
Can sombody please help me with this math problem?
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4 0
3 years ago
Read 2 more answers
How would the mean change if the number 52 replaced the number 12 in the set?
m_a_m_a [10]

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = <u>33</u>

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = <u>38</u>

<u />

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

6 0
2 years ago
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