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jekas [21]
3 years ago
12

35 POINTS. I need help! Please!

Mathematics
1 answer:
topjm [15]3 years ago
7 0
There is no solution  for the first one

if you eliminate y   you get 2 equations
-13x - 13z = -25
-13x - 13x = -15    

- there is no solution to theses

a23  means the element in the second  row and the 3rd column

so its -5 
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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
Use abc to find the value of cos B
krok68 [10]
Cos of b equals c over a 
7 0
3 years ago
The sum of m and n is 32, and the value of m is three times the value of n. what is the value of m and n?
inn [45]

Answer:

The correct set of equations is C.

Step-by-step explanation:

m + n = 32

m = 3n

We have 4n = 32, so n = 8 and m = 24.

4 0
1 year ago
Mike has a large tropical fish collection.He gives 2/3 of his fish to a local high school. Then gives 2/5 of the remaining fish
joja [24]
If you divide the 2 in 3 you get .6 and if you divide 2 in 5 ou get ,4 now add them you and get 1 now add that 1 to 30 your answer should be 31
3 0
3 years ago
Spinner 1 is divided into four congruent sections, and Spinner 2 is divided into three congruent sections, as shown below. Each
xenn [34]

Answer:

I believe the answer would be 1/6

Step-by-step explanation:

The work already says that there are 2 possible choices. This would be 2/12. This is further simplified to 1/6. Hope this helps

3 0
3 years ago
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