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dem82 [27]
2 years ago
5

NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?

Mathematics
1 answer:
snow_lady [41]2 years ago
7 0

Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

too long to give te explanations but they're there in the attachments

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Which is equivalent
andrew11 [14]

Answer:

x^\frac{5}{3} y^\frac{1}{3}

Step-by-step explanation:

This question is on rules of rational exponential

where the exponential is a fraction, you can re-write it using radicals where the denominator of the fraction becomes the index of the radical;

<u>General expression </u>

a^\frac{1}{n} =\sqrt[n]{a}

Thus    \sqrt[3]{x} =x^\frac{1}{3}

 

<u>Applying the same in the question </u>

\sqrt[3]{x^5y} =x^\frac{5}{3} y^\frac{1}{3}

=x^\frac{5}{3} y^\frac{1}{3}

5 0
3 years ago
Read 2 more answers
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
Which equation correctly applies the distributive property?
Murrr4er [49]

Answer:

the last one

Step-by-step explanation:

In the last one, it takes all of the numbers in the one parentheses and distributes it to the 0.5.

Look at the picture. (sorry for the messy writing)

3 0
3 years ago
Use the following function to find f(9)<br> f(x) = 6x<br> f(9)=
san4es73 [151]

Answer:

f(9)=54

Step-by-step explanation:

Subsitute 9 for x in f(x)=6x

f(9)=6(9)=54

6 0
2 years ago
Read 2 more answers
5/10 + 3/10 plz help!
spayn [35]
The answer to this question is 8/10 which also equals 4/5
6 0
3 years ago
Read 2 more answers
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