17.1 equation of a circle evaluate homework and practice

Answers

Answer 1

Based on the calculations, the radius of this circle with the given equation is equal to 5 units.

Given the following data:

[tex]x^2+y^2+8x-6y+21=0[/tex]

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where:

h and k represents the coordinates at the center.r is the radius of a circle.

Expanding the equation, we have:

[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]

Comparing the terms, we have:

[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]

h = -4

[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]

k = 3.

Now, we can determine the radius:

[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]

r = 5 units.

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Related Questions

A $900 sound system decreases in value by 9 each year

Answers

Uh, Ok? That system can’t be going up higher than these gas prices istg.

On january 1, 2021, the general ledger of tnt fireworks includes the following account balances:

Answers

Explanation:

what is the flowing to the question

Which of the indicators on the chart above tell(s) us that Australia and New Zealand are highly developed countries?
A.
per capita GDP
B.
unemployment rate
C.
infant mortality rate
D.
all of the above

Answers

Answer:

Answer: D

GDP per capita is a measure of a country's economic output that accounts for its number of people.

The unemployment rate is defined as the percentage of unemployed workers in the total labor force.

The infant mortality rate is the number of deaths under one year of age.

Given the above information, a country with a higher GDP would have a more stable economy aiding in growth. A lower unemployment rate would show a surplus of jobs indicating, once again, a steady and growing economy. Lastly, a lower infant mortality rate would show access to advanced medicine and a highly trained medical field. All three of these examples are indicators of a highly developed country.

Explanation:

D all of the above person above is correct

The writer is considering deleting the underlined independent clause in sentence 7 (reproduced below), adjusting the punctuation as necessary. In a classic experiment, students who watched their schools compete in a football game subsequently remembered the adversary’s team performing worse than their own: confirmation bias caused the students, who already believed in their own school’s superiority, to interpret what they had seen as support for their preexisting beliefs. Should the writer keep or delete the underlined text?

Answers

The answer to whether the writer should keep or delete the underlined text is; Keep it, because it provides an example that explains how confirmation bias affects memory

What are clauses and punctuations?

In language, a clause is a constituent that connects a semantic predicand and a semantic predicate. A common clause is made up of a subject and a syntactic predicate, the last ordinarily an action word with any items and different modifiers.

A modifier clause depicts or gives more data about the action word lets us know when, where, how, how much, or under what condition something is going on. Model she cried in light of the fact that her shell was broken. A thing clause replaces a thing in the sentence.

Punctuation fills our composition with quiet inflection. We stop, stop, underline, or question utilizing a comma, a period, an interjection point or a question mark.

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Based on paragraph 3 ("in a different. . . Augustine"), what can most reasonably be inferred about augustine?

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The purpose of making an inference is so that one is able to elicit a conclusion that depends on facts provided based on reasoning.

What is an Inference?

Inferences are helpful because they help to uncover hidden messages in a text or literature. Another way to refer to inference is "to read between the lines"

When a person arrives at a conclusion by adding one or more logical facts together, they are said to have made an inference.

Do note that the text (paragraph) referred to is unavailable hence the general answer.

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Which does not accurately describe the cuban missile crisis?

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The bay of pigs invasion was an invasion to remove Fidel Castro from governing Cuba. It happened a year before the Cuban missile crisis so it couldn't have ended the standoff. The bay of pigs invasion failed and Castro remained in power. The other three options are true since ti was resolved diplomatically and not in a war.

The surface tension of water in air is approximately 0.00518 lbf/ft. if the atmospheric pressure is 14.7psia, what is the pressure inside a droplet 0.01" in diameter?

Answers

Based on the calculations, the pressure inside this droplet is equal to 2,909.35 kPa.

Given the following data:

Surface tension = 0.00518 lbf/ft to N/m = 0.00702 N/m.Atmospheric pressure = 14.7psia to kPa = 101.35 kPa.Diameter = 0.01 mm to m = 0.00001 m.

Radius, r = [tex]\frac{diamter}{2} =\frac{0.0001}{2}[/tex] = 0.000005 m.

How to determine the pressure inside a droplet.

For a droplet with only one surface, its pressure is given by this formula:

[tex]P_1-P_2=\frac{2 \tau}{r} \\\\P_1=\frac{2 \tau}{r}+P_2[/tex]

Substituting the given parameters into the formula, we have;

[tex]P_1=\frac{2 \times 0.00702}{0.000005} + 101.35\\\\P_1=2808+ 101.35[/tex]

Inside pressure = 2,909.35 kPa.

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What is the temperature of 12.20 mol of gas in a 18.35 l tank at 16.40 atm? round your answer to the tenths place.

Answers

Based on the calculations, the temperature of this ideal gas is equal to 300.5 K.

How to calculate the temperature.

Mathematically, the temperature of an ideal gas is given by this formula:

[tex]PV=nRT\\\\T=\frac{PV}{nR}[/tex]

Where:

P is the pressure.R is the ideal gas constant.T is the temperature.n is the number of moles.V is the volume.

Given the following data:

Number of moles = 12.20 moles.

Volume = 18.35 L.

Pressure = 16.40 atm.

Substituting the given parameters into the formula, we have;

[tex]T=\frac{16.40 \times 18.35}{12.20 \times 0.0821}\\\\T=\frac{300.94}{1.00162}[/tex]

T = 300.5 K.

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Why can’t the moon be eclipsed when it is halfway between nodes of its orbit?

Answers

Answer: Because the moon's orbit is at it's maximum deviation, meaning that it is leaving it's course from the sun's path, which would make the shadow fall way below or above the moon. So, because of that, the moon can't eclipsed.

Hope this helps!

Linear constant and squaring functions are examples of

Answers

Answer:

Polynomial functions

Explanation:

I hope this helps.

Linear constant and squaring functions are examples of polynomial functions.

What do you mean by Polynomial functions?

Polynomial functions may be characterized as a type of function that significantly involves the utilization of only non-negative integer powers or only positive integer exponents of a variable in equations like the quadratic equation, cubic equation, etc.

These functions are understood by mathematical concepts through which an expression consists of variables and coefficients involving only mathematical operations like addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Examples of polynomial functions may include linear constants, cubic functions, quadratic and quartic equations, etc.

Therefore, linear constant and squaring functions are examples of polynomial functions.

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#SPJ2

Your question seems incomplete. The most probable complete question is as follows:

Linear constant and squaring functions are examples of:

Quadratic functions.Parabola functions.Polynomial functions.

Exercise will help you prepare for the material covered in the next section. solve: −2x − 4 = x 5

Answers

Answer:

-4/7

Explanation:

5x+2x=-4

x=-4/7

i think its the answer

Big ideas math algebra 2 student journal answer key

Answers

Math algebra 2 student journal is made for student to have a good understanding of algebra. An example is linear function.  Work under this this topic include:

Solve for 7. 3² + 11.

What is an exponential term?

An exponential term is known to be a term that is linked to a kind of exponent.

When using the order of operations, one has to simplify the exponential term before doing any thing else. later one can use multiplication and then one can finally add to get the answer.

To solve for  7. 3² + 11 , it will be:

7.9 + 11

Note that the dot connote multiplication

so 7 x 9 + 11

= 74

Therefore, the answer is 74.

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If a diploid sperm fertilized an haploid egg what would the result be

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It should be noted that if a diploid sperm fertilized an haploid egg the result be a single 2n diploid cell called the zygote.

What is a zygote?

In fertilization, zygote can be regarded as a fertilized egg cell which form as a result of the union of a female gamete and a male gamete (sperm).

It is found during the embryonic development of humans and other animals.

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What would be the best search terms to use for a research project about the health benefits of exercise?

Answers

Answer: health benefits, exercise

Explanation:

Answer:

health benefits, exercise

Explanation:

Search terms are the words and phrases you enter into a search engine.


Self-Assessment Analysis Portfolio
Analyze

Answers

The answer to this is b

Which of these is not a reason for percent yield to be less than theoretical yield?

Answers

Answer:>incomplete reactions, in which some of the reactants do not react to form the product

practical losses during the experiment

->side reactions (unwanted reactions that compete with the desired reaction)

->reversible reactions

->impurities in reactants

explantion

not a reason? if you ask a reason ,i can say An actual yield is the mass of a product actually obtained from the reaction. It is usually less than the theoretical yield. The reasons for this include:

According to the video, what are the purposes of the dodd-frank act? check all that apply

Answers

Answer:

where's the video?

Explanation:

where da video at gang?????

Big ideas math geometry chapter 9 practice test answers

Answers

Can we see the text or concept we’re looking for? Problem? Anything

Choose a physical feature discussed in this unit. In a paragraph of 125 words, discuss its effect on the sub-sahara's physical and human geography

Answers

The physical feature in Sub-sahara chosen in this scenario is the river.

What is Sub-sahara?

This is an area found in Africa which has realm of plateaus and basins with four main river systems.

The river allows for more influx of people into the area as a result of the presence of water which can be used for agriculture and other important sources .

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Answer:

A very important feature partly in the Sub-Sahara of Africa is the Great Rift Valley which stretches for about 6000km from Syria to Mozambique is a block faulted valley, 30 to 60 miles wide which represents a rift in the African plate of plate tectonics, similar to the ones under the ocean like the mid-Atlantic ridge. It has fertile soil in it, partly from volcanoes like Mt Kilimanjaro, and also many large lakes like Lake Tanganyika, It provided a rich environment due to the soil and the lakes for example, for the Bantu people in the past, many of which had their kingdoms here. Ancient human remains have been found in its soil by Richard Leakey.

Read the excerpt from "a worn path." 'phoenix spoke unasked now. "no, missy, he not dead, he just the same. every little while his throat begin to close up again, and he not able to swallow. he not get his breath. he not able to help himself. so the time come around, and i go on another trip for the soothing-medicine." "all right. the doctor said as long as you came to get it, you could have it," said the nurse. "but it's an obstinate case."' what is the most likely the meaning of obstinate?

Answers

The most likely meaning of the word Phoenix from the given excerpt titled "a worn path" is; Stubborn

What does the phoenix symbolize?

The phoenix bird is one that symbolizes immortality, resurrection, and life after death. In the ancient Greek and Egyptian mythology, it was usually associated with the sun god.

Obstinate, dogged, stubborn, and mulish all mean that someone is unwilling to change course or give up a belief or plan.

Obstinate means an unreasonable persistence which is a negative word.

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A sample of oxygen gas is confined at 127°c and 0.80 atm. if volume of the container holding the gas stayed the same, what would be the pressure of this sample at 27°c?

Answers

Based on the calculations, the pressure of this gas sample at 27°C is equal to 0.17 atm.

How to determine the final pressure.

In order to calculate the final pressure of an ideal gas at constant volume, we would apply Gay Lussac's law.

Mathematically, Gay Lussac's law is given by this formula;

[tex]P\;\alpha \;T\\\\P=kT[/tex]

Where:

P is the pressure.T is the temperature.k is the constant of proportionality.

Substituting the given parameters into the formula, we have;

[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{0.80}{127} =\frac{P_2}{27} \\\\0.0063 =\frac{P_2}{27}\\\\P_2 = 0.0063 \times 27[/tex]

Final pressure = 0.17 atm.

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Find the value of x given the area of the quadrilateral

Answers

Answer:

Wait. where is the exact question?

Rachel, adam, michelle, hannah, and james are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9. 50, and each snack item costs $4. 50. How many snacks can they buy to split among them? this problem is modeled by the inequality 5(9. 5) + 4. 5x ≤ 65, which is equal to 47. 5 + 4. 5x ≤ 65. The first step in solving the inequality is to. The second step is to. The five friends will have to split snacks

Answers

Answer:

The first step in solving the inequality is to

✔ subtract 47.5 from both sides

.The second step is to

✔ divide both sides by 4.5

.The five friends will have to split

✔ 3

snacks.

Explanation:

Anyone know any classical songs?

Answers

Answer:

ring of fire by Johnny Cash

Explanation:

hope this helps

Answer:

Some of my favs

Elgar- Salut D' Amour

Tchaikovsky- Dance of the Sugar Plum Fairy (Nutcracker)

Liszt - La Campanella

Niccolo Paganini - 24 Caprice

Chopin - Nocturne Op. 9

Debussy - Clair de Lune

Explanation:

In the interview, dr. dowell mentions that we live in a "small world." the video explains that disease can spread in a matter of hours when people travel by airplane. how does the video connect to what dr. dowell says? the video discusses disease but avoids how diseases spread. the video gives the same information as the interview about the spread of disease. the video gives less information than the interview about how easily disease can spread. the video gives more specific information about how easily diseases can spread.

Answers

Answer:

D

Explanation:

edge 2022

it's right all you have to do is trust me

Answer: D or The video gives more specific information about how easily diseases can spread.

Explanation: got it on edge 2022

One economic reason for the general trend of migration from rural to urban areas is that —

Answers

Looking for job opportunities .

China’s government discourages population growth through all of the following measures except __________. A. Subsidizing daycare for large families b. Fining couples with more than one child c. Offering maternity leave to one-child families d. Requiring that all couples in urban areas have only one child please select the best answer from the choices provided. A b c d

Answers

Answer:

the answer is A, for edge.

Explanation:

What effects can apostrophe have on a poem? choose four answers. It gives the speaker a voice. It connects the reader to the speaker’s message. It gives the poem a detached effect. It makes an imagined addressee feel present. It gives the poem a personalized effect

Answers

Th influence of apostrophe's as used on the poem is:

It gives the speaker a voice.It connects the reader to the speaker’s message.It makes an imagined addressee feel present.It gives the poem a personalized effect.What effects can an apostrophe give on a poem?

An apostrophe  is known to be often used to highlight the vital reasons of the the main idea or object.

It is often used to adds drama, bring out emotions as a result of jubilation to sorrow and it is also used to evoke something not living.

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Answer:

A, B, D, E

Explanation:

A - it gives the speaker a voice

B - it connects the reader to the speakers message

D - it makes an imagined addressee feel present

E - it gives the poem a personalized effect

>.<

In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.

Answers

The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.

What are prokaryotic organisms?

Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.

Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).

Some characteristics of Archaea include:  

Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.

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how many chromosomes should be in each diploid cells after mitosis

Answers

In humans 46 chromosomes should be in each of these diploid cells after mitosis

hope this helps

In humans 46 chromosomes should be in each of these diploid cells after mitosis.
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