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.
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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)
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Answer: y+4=±6/7(x−6)
Explanation: I just took the test. This is the right answer.
Related Questions
A mixture of iron, salt, and sand can be separated using a magnet, water, a filter, and a hot plate. This separation _____.
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Answer:
i think mixture
Explanation:
sorry if it wrong(tried my best)
Answer:
This is an example of a mixture that can be separated with simple separation techniques based on the physical properties of the mixtures. Magnetism, and filtration and evaporation
Iron is a magnetic material, but salt and sand are not, therefore, the iron can be separated from the mixture with the use of a magnet.
Salt and sand are mixable. Salt is soluble in water, but sand is not. Therefore by adding the sand and salt to water, the salt will dissolve,in the water(solvent) to form a salt solution. But the sand can be separated out of the solution by filtration with the filter paper inserted into a funnel which allows the salt solution to pass through while restricting the sand.
The sand would be removed by the filter paper, while the solution passes through.
The salt solution and some sand residues are placed in an evaporating dish and heated at low temperatures. The water from the solution evaporates, leaving the salt behind.
Calculate the number of different words that can be obtained by rearranging the letters of the word trust.
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There are 5 letters in the word trust and the number of different words that can be obtained from the word trust is; 115
Since, at least 2 letters are required to make a word from the word trust;
We can evaluate the number of different words that can be obtained by rearranging the letters of the word trust as;
5! - 5= (5×4 × 3 × 2 × 1) - 5= 120 - 5= 115Read more on combinations and permutations;
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Bob plants some seeds in a small cup. He puts the cup in the light and waters the soil every day. After 4 days, the seedlings emerge from the soil. What can bob conclude?.
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What Bob can conclude after 4 days when the seedlings emerged from the soil is that;
The seedlings exerted an upward pushing force on the soil.
Since he planted some seeds in a cup of soil and puts water and light daily into it, it means that the seedling is supposed to germinate and begin to grow.
However, we are told that after 4 days, the seedlings emerged from the soil. What this means is that the seedlings didn't germinate and as such they instead forced their way up the soil with an upward pushing force.
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Drag and drop each mutation to the picture that correctly represents the mutation.
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Answer: Point mutation in Meiosis, Chromosomal Rearrangement, Nondisjunction.
Explanation:
Which of the following is not a characteristic of the type b personality?.
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Answer:
Is more emotional & perspective, laid back.
A piece of equipment costs $30,000, and is expected to generate $8,500 of annual cash revenues and $1,500 of annual cash expenses. The disposal value at the end of the estimated 10-year life is $3,000. Ignoring income taxes, the payback period is:.
Answers
Answer:
C. 4.29 years
Explanation:
The computation of the payback period is shown below:
Payback period = Initial investment of the equipment ÷ Cash flows
where,
Initial investment = $30,000
And, the cash flows is
= $8,500 - $1,500
= $7,000
So the payback period is
= $30,000 ÷ $7,000
= 4.29 years
By dividing the initial investment by the cash flows we can get the payback period and the same is applied above.
please mark me brainliest!!
El lunes la clase comenzó a las 8:15.
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Answer:
On Monday the class started at 8:15.
Explanation:
Which statements are true descriptions of earth's interior layers? select the two correct answers.
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Answer:
2 AND 6
Explanation:
What is the frequency of a sound source that produces the same wavelength in 20∘c air?.
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Based on the standard formula and data in the question, the frequency of a sound source that produces the same wavelength in 20∘c air is "115.87Hz."
What is the frequency of a sound source?The frequency of a sound source is the quantity of waves that move through a point per unit of time.
Typically, a sound wave arises from a source vibrating at a frequency f, propagates at v, and has a wavelength λ.
Therefore, in this case, we have
Velocity (v) of sound in air = 343 m/s
Wavelength (λ) = 2.96 m
Frequency (f) =?
f = v ÷ λ
f = 3.43m/s ÷ 2.96m
=> 115.87Hz
Hence, in this case, it is concluded that the correct answer is 115.87Hz.
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A book is pushed with an initial horizontal velocity of 5. 0 meters per second off the top of a desk. What is the initial vertical velocity of the book?.
Answers
Matthew has a jar of 368 nickels and dimes he has been collecting. The total value of the coins is $28. 40. Which system of linear equations and solution can be used to represent the number of nickels and dimes matthew has in his collection?.
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Answer:200 nickels and 168 dimes
Explanation:N+d=368
Please select the word from the list that best fits the definition the biological capability to bear children.
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Answer:
Edge says Fecundity
Explanation:
Fecundity is the biological capacity of an organism to conceive a child - in conjunction with another organism. For this to occur it is necessary that the man and the woman be fertile, that is, they have fertility. A person's fertility is measured by the number of ovules / seeds that can be fertilized. After fertilization, the fetus grows in the gestational process and becomes a baby.
The correct word from the list that best fits the definition of the biological capability to bear children is fecundity. The correct option is E.
What is childbearing?Women can theoretically become pregnant and give birth from puberty, when they begin having periods, to menopause, when they cease having them. The reproductive years of the average woman last from 12 to 51 years.
The biological ability of one organism to conceive a child in collaboration with another creature is known as fecundity. Both the man and the woman must be fertile, or have fertility, for this to happen.
The quantity of ovules or seeds that can be fertilized is used to determine a person's fertility. The fetus develops during the gestational period after conception to become a baby.
Therefore, the correct option is E. Fecundity.
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The question is incomplete. Your most probably complete question is given below:
population
demography
birthrate
fertility
Fecundity
mortality
The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is.
Answers
Answer:
The range for the following data is 83
Explanation:
To find the range of data given, you take the largest number and subtract the smallest number from it. (Biggest # - Smallest #)
91 is the biggest number.
8 is the smallest number.
91-8 = 83
83 is the range.
Which correctly lists the three features shown in the photo? folds, strike-slip faults, and anticlines anticlines, synclines, and folds synclines, normal faults, and strike-slip faults normal faults, folds, and anticlines.
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Anthe answer is A
Explanation:
The correct list of the three features shown in the photo are folds, strike-slip faults, and anticlines. The correct option is A.
What are folds?On a geological timescale, modern folds are those that first appeared in the Tertiary Period (between 65 million and 2.5 million years ago). Geological formations known as faults are the result of internal forces that are inclined or vertical (top-down).
The transcurrent fault, which is also known as a horizontal fault, develops when there is movement in the horizontal plane between two blocks.
It is more prevalent in regions where two tectonic plates converge since these zones also experience horizontal movement. When two or more of the tectonic plates of Earth are forced together, fold mountains are formed.
Therefore, the correct option is A, folds, strike-slip faults, and anticlines.
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The question is incomplete. Your most probably complete question is given below: the image is added.
A 2-kg wood block is pulled by a string across a rough horizontal floor. The string exerts a tension force of 30 n on the block at an angle of 20º above the horizontal. The block moves at constant speed. If the block is pulled for a distance of 3. 0 m, how much work is done by the tension force?.
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Only the horizontal component (the component parallel to the floor) of tension does work on the block. This parallel component has magnitude
(30 N) cos(20°) ≈ 28.2 N
and acts over a distance of 3.0 m, so it performs
(28.2 N) (3.0 m) ≈ 85 J
of work
A middle school chess club has 5 members.
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Answer:
For real????????????
Thats sad :C
You have set a closing date with a password. Can your client make changes and if so, how would you track any changes to transactions within the closed period?.
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Based on the information given, the correct option will be C. Yes, but only if they know the password. Changes are flagged in an Exceptions to Closing Date report.
From the complete information, it was stated that the user has set a closing date with a password. It should be noted that changes can still be made by the client.
It should be noted that admins and master admins can edit the transactions even after the closure of the book.
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To leave the gravitational pull of the earth satellites must have at least.
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Answer:
weight
Explanation:
hope it helps
How critical thinking and problem shoving skills will help you in your early children education career ?
Answers
Answer: It will help them make better andmore mature choices in life.
Explanation:
An informative presentation can be used for conducting a classroom discussion. Discuss strategies for engaging students when presenting a topic of discussion in a presentation.
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An informative presentation is a type of presentation that serves specific audiences. In the classroom, an informative presentation must be instructive and edifying for all the students.
An informative presentation is a presentation useful for a specific audience (in this case, students), which should be ideally both instructive and edifying for all the audience.
Some useful tips that can help to achieve an informative presentation include:
Share storiesAdd videosPoll the classMake discussion extensiveAn informative presentation always includes an enriching discussion, which means that the presentation should be interactive and involve students in the process.
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Which one of the following descriptions most accurately describes what is occurring in the half cell containing the cu electrode and cu2+(aq) solution?.
Answers
What is the function of the hormone progesterone brainly.
Answers
Answer: Progesterone prepares the endometrium for the potential of pregnancy after ovulation. It triggers the lining to thicken to accept a fertilized egg. It also prohibits the muscle contractions in the uterus that would cause the body to reject an egg.
Explanation:
The fifth term of a geometric sequence is 781. 25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?.
Answers
Answer: an = 5an-1
Explanation: Given fifth term of a geometric sequence is 781.25.
a5 = 781
Also, each previous term is 1/5 of the value of the current term.
Therefore, common ratio would be 5.
But we just need to find the recursive formula .
Recursive formula of a geometric sequence is given by
Plugging value of r in above formula, we get
Therefore, recursive formula would be represents the situation.
The recursive formula that represents the situation is: [tex]t_n = a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex].
What is recursive formula?A recursive formula is one that defines any term in a sequence in terms of the term(s) before it.
Let the first term of the geometric sequence be 'a' and the common ratio be 'r'.
We are given that the fifth term is 781.25, so we can write:
a * [tex]r^4[/tex] = 781.25
We also know that each term is the value of the following term, so we can write the recursive formula:
t_n = r * t_(n-1)
Where t_n is the nth term of the sequence and t_(n-1) is the previous term.
To express the recursive formula in terms of 'a' and 'r', we can use the formula for the nth term of a geometric sequence:
[tex]t_n = a * r^{(n-1)[/tex]
Substituting the recursive formula, we get:
[tex]r * t_{(n-1)} = a * r^{(n-1)[/tex]
Dividing both sides by r^(n-1), we get:
[tex]t_{(n-1)} = a * r^{(n-2)[/tex]
So the recursive formula in terms of 'a' and 'r' is:
t_n = r * t_(n-1)
[tex]= r * (a * r^{(n-2)})\\\\= a * r^{(n-1)[/tex]
Now we can substitute the value of the fifth term (781.25) to solve for 'a' and 'r':
a * [tex]r^4[/tex] = 781.25
Dividing both sides by a, we get:
[tex]r^4[/tex]= 781.25/a
Taking the fourth root of both sides, we get:
r = [tex](781.25/a)^{(1/4)[/tex]
Substituting this value of 'r' into the recursive formula, we get:
[tex]t_n = a * ((781.25/a)^{(1/4)}){^(n-1)}\\\\= a^{(3/4)} * 781.25^{(1/4)} * n^{(1/4)}[/tex]
Therefore, the recursive formula that represents the situation is:
t_n = a^(3/4) * 781.25^(1/4) * n^(1/4)
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Which premise would best fit in a work of dystopian fiction.
Answers
Answer:
The answer is most likely C, can a robot dominated government run a human society. The assumption here is that robots already have dominated human kind.
thank you
In the Aeneid, how does the poet Virgil connect the story of Aeneas to the older tradition of Romulus?
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Answer:
He is his ancestor
Explanation:
im almost postive thats the answer
Which of the following correctly describes the effect of sympathetic division of ans on the cardiac activity.
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Answer:
The statement 'sympathetic nervous system activation constricts arteries found within the salivary glands' describes the activation of autonomic nervous system function in the circulatory system
Carbon cycles through the biosphere in all of the following except.
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Answer:
Carbon cycles through the biosphere in all of the following processes EXCEPT: photosynthesis, transpiration, burning of fossil fuels, or decomposition of plants & animals
Which best describes the relationship between respiratory and circulatory system.
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Answer:
The respiratory system transports oxygen to cells, while the circulatory system provides oxygen for cells.
A __________ score allows a researcher to compare scores across different scales. A. Raw b. Distributed c. Standard d. Deviated please select the best answer from the choices provided a b c d.
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Answer:
A standard score allows a researcher to compare scores across different scales.
Explanation:
[tex]~\large{\mathfrak{꧁HeavenMistress꧂}}[/tex]
How to make hydroxyquinoline at home with grapefruit and lemon.
Answers
Hydroxyquinoline CANNOT be made from grapefruit and lemon because it can only be synthesized and is not a natural compound.
With this in mind, we can see that hydroxyquinoline is usually used to salve the effects of a freshly cut cow udder as it is applied to soothe skin.
Furthermore, it can be chemically gotten when glycerol is mixed with 2-aminophenol alongside with sulphuric acid and this cannot be gotten from grapefruit and lemon.
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