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gladu [14]
3 years ago
5

Please answer whoever gets it right brainliest

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
2 less than n is n-2
And
n plus n is 2n
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Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square
N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \frac{x^2}{10} + \frac{y^2}{15} = 1

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

  • Directrices at x = ±2
  • Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1

So, we have:

\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1

Evaluate

\frac{x^2}{10} + \frac{y^2}{15} = 1

Hence, the equation of the hyperbola is \frac{x^2}{10} + \frac{y^2}{15} = 1

Read more about hyperbola at:

brainly.com/question/3405939

#SPJ1

6 0
2 years ago
2 hectometers = centimeters
Scorpion4ik [409]

Answer:

2 hectometers = 20,000 centimeters

Hope this helps!

-Mikayla


4 0
3 years ago
Read 2 more answers
A baseball has a diameter of 3.7 inches. Find the volume of the baseball. Round the answer to the nearest tenth. Use 3.14 for pi
ExtremeBDS [4]

Answer:

Volume is about 26.5 in^3

Step-by-step explanation:

The volume = 4/3 pi r^3   where r = the radius.

the radius = 1/2 diameter =  1/2 * 3.7  = 1.85 ins.

So V = 4/3 * 3.14 * 1.85^3

= 26.5084

7 0
3 years ago
When finding the area of a quadrilateral, what operation would I use and why?
lilavasa [31]

Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.

3 0
2 years ago
Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volum
zhenek [66]

Answer:

Never bwa hahaha JK try d

Step-by-step explanation:

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