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STALIN [3.7K]
2 years ago
7

What are the equations of the asymptotes of the hyperbola? (y+4)236−(x−6)249=1 enter your answer in point-slope form by filling

in the boxes. Enter the slope as a simplified fraction.
SAT
1 answer:
Helen [10]2 years ago
5 0

The point slope form of the asymptote of the hyperbola is; y - 4 = ±(6/7)(x - 6)

  • We are given the equation of the hyperbola as;

[(y + 4)²/36] - [(x - 6)²/49] = 1

  • We can rewrite this equation as;

[(y + 1)²/6²] - [(x - 6)²/7²] = 1

  • The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

  • Comparing this general form to our given equation we can see that;

k = -4

h = 6

a = 6

b = 7

  • Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

  • Plugging in the relevant values gives us;

y = ±(6/7)(x - 6) - 4

>> y - 4 = ±(6/7)(x - 6)

Read more about hyperbola asymptotes at; brainly.com/question/12919612

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A sample of pure lithium nitrate contains 7. 99% lithium by mass. What is the % lithium by mass in a sample of pure lithium nitr
Shalnov [3]

Considering the definition of percentage by mass, the sample of pure lithium nitrate contains 7.99% lithium by mass.

<h3>Definition of percentage by mass</h3>

The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.

In other words, the percentage by mass of a component of the solution is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.

The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage. This is:

percentage by mass=\frac{mass of solute}{mass of solution}x100

<h3>This case</h3>

Because percent by mass indicates the ratio of solute to solution based on mass, if the sample has twice the mass of the first sample, the ratio remains constant.

So the percentage by mass is the same.

That is, the sample of pure lithium nitrate contains 7.99% lithium by mass.

.

Learn more about percent by mass:

brainly.com/question/18646836?referrer=searchResults

3 0
3 years ago
In long-run equilibrium, the perfectly competitive firm earns __________ economic profits.
DochEvi [55]

In perfectly competitive markets, firms in the market in the long-run, will earn zero economic profits.

<h3>What economic profits are earned in a perfectly competitive market?</h3>

In the short-run, there is a chance to earn a positive economic profit in a perfectly competitive market but this would then attract other companies into the market to make profits as well.

This then leads to the profits disappearing thanks to increased supply and lower prices. Companies would then leave and enter to either take advantage of profits or stop losses thereby keeping economic profits at zero in the long run.

Find out more on perfectly competitive markets at brainly.com/question/15712381

#SPJ1

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2 years ago
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