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gregori [183]
3 years ago
14

Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7)

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

Hope this helps :)

Step-by-step explanation:

Nitella [24]3 years ago
5 0

The equation of a hyperbola is:

(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1

 

So what we have to do is to look for the values of the variables:

<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>

<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>

 

<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>

<span>b^2 =  49 – 9</span>

<span>b^2  = 40

</span>

Therefore the equation of the hyperbola is:

<span>(x^2 / 9) – (y^2 / 40) = 1</span>

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Answer:

10 ft 10 in

Step-by-step explanation:

Note that there are 12 inch in 1 feet. Add corresponding numbers together:

6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in

10 ft 10 in is your answer.

~

5 0
3 years ago
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9234 divided by 52 but what is the remainder
HACTEHA [7]

Answer:

In a decimal it would be 177.577

In a fraction it would be 177  577/1000

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A grocery store clerk put only cans of tomato soup and cans of chicken soup on a shelf. The ratio of the number of cans of chick
larisa [96]

Answer:

9 cans of tomato soup

Step-by-step explanation:

We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.

Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.

In fraction, this is 8/17

Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.

Thus,

Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;

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8 0
3 years ago
The set of ordered pairs represents a
Murrr4er [49]

Answer:

The rule that represents the function is y=x^2+1 therefore the function is f(x)=x^2+1

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So <u>we propose the rule </u>y=x^2+1<u> which is correct for the first 3 values of x.</u>

Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as

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Therefore, the rule is correct, and the function is

f(x)=x^2+1

8 0
3 years ago
What is the value of n?<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2n-7%7D%7B3%7D%20%3D15" id="TexFormula1" title=" \fra
kirill [66]
\frac{2n-7}{3} = 15

2n - 7 × 1 = 15 × 3

2n - 7 = 45

2n = 45 + 7

2n = 52

n = 26

Have a nice days.........
5 0
3 years ago
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