What is an equation of a parabola with the given vertex and focus (-2 5) (-2 6).

Answers

Answer 1
Equation of parabola is
4
y
=
x
2
+
4
x
+
24
Explanation:
As the vertex
(

2
,
5
)
and focus
(

2
,
6
)
share same abscissa i.e.

2
, parabola has axis of symmetry as
x
=

2
or
x
+
2
=
0
Hence, equation of parabola is of the type
(
y

k
)
=
a
(
x

h
)
2
, where
(
h
,
k
)
is vertex. Its focus then is
(
h
,
k
+
1
4
a
)
As vertex is given to be
(

2
,
5
)
, the equation of parabola is
y

5
=
a
(
x
+
2
)
2
as vertex is
(

2
,
5
)
and parabola passes through vertex.
and its focus is
(

2
,
5
+
1
4
a
)
Therefore
5
+
1
4
a
=
6
or
1
4
a
=
1
i.e.
a
=
1
4
and equation of parabola is
y

5
=
1
4
(
x
+
2
)
2
or
4
y

20
=
(
x
+
2
)
2
=
x
2
+
4
x
+
4
or
4
y
=
x
2
+
4
x
+
24
graph{4y=x^2+4x+24 [-11.91, 8.09, -0.56, 9.44]}

Related Questions

Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?.

Answers

If we read the complete exercise, we can understand that the correct answer is 9 students.

This is a math related exercise.

If we take into consideration that Sean is the 5th highest in the class, it means that there are four more people before him.

However, he is also the 5th lowest mark in the class, so it means that there are four more people below him.

If we also count Sean, there are:

9 students in the class.

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A mother bring her 2-year old child to the clinic because of her concerns about the child's nutritional status. She tells the nurse that for the last week the child has refused to eat anything except animal crackers, and peanut butter and jelly sandwich. Which of the following measures would be most appropriate for the nurse to suggest?.

Answers

Considering the situation described above, the measures that would be most appropriate for the nurse to suggest is that the mother should not offer the child snacks so that the child is hungry and subsequently offer the child the main meal.

What is Main Meal?

The main meal is the conventional food prepared to serve breakfast, lunch, or dinner.

In this situation, given that the child only eats animal crackers and peanut butter and jelly sandwich, which is a form of snacks or junk, the only way to make the child eat good food is to starve him from snacks and only serve his main meal.

Hence, in this case, it is concluded that main meals have nutritional value than snacks and junk.

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Which statement describes a personal pressure that is commonly associated with tobacco or nicotine use?.

Answers

Answer: children have parents who smoke

Explanation:

It says personal and all the other options are external factors so having parents that smoke is an internal or personal pressure :) I know cause I’m doing the test right now

In nature during a 24 hour period green plants continuously use.

Answers

Answer:

Carbon Dioxide, or CO2

Explanation:

Plants need to breathe, otherwise they won't survive

Humans' intake oxygen and exhale CO2

However, plants intake CO2 and exhale oxygen

Wolves have genes that give them a very powerful.

Answers

This is true. Wolves have a sense of smell that is much more powerful than humans.

The new clients are not responding to our product the way we had hoped. - frankly, i’m hardly with last month’s sales.

Answers

Based on the information given, it can be noted that the word that will accurately fit into the sentence will be "beside myself".

Based on the complete information, it should be noted that one cannot use cloud nine, over the moon, or down in the dumps as they do not fit accurately into the sentence.

Therefore, the correct sentence will be that the new clients are not responding to our product the way we had hoped. Frankly, i’m hardly beside myself with last month’s sales.

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The computer-related professional who writes codes for a wide range, from business software to games.

A)Software Tester

B)IT Manager

C)System Analyst

D)Computer Programmer

Answers

Answer: Im going to guess A

Explanation: I honestly don't know if its not correct please let me know eee

Which of the following was a common justification in the united states for the trend depicted in the map?.

Answers

Answer:

XPERIA 1 II the best thing to remember is that you have can be your own in the world of the world of the your best business cards and the your first business plan cards are you to buy be your used car

Explanation:

I Too have can you it me a good price on a new one price and a price little more as well I think have a good you will can find it

How does the stranger show that he is more aggressive.

Answers

Answer:

Tone, behavior, attitude are some ways that people show aggression.

i'm not sure if this is exactly what you're asking for

Explanation:

If a recessive allele helps an organism reproduce but a dominant allele hinders reproduction, which will become more prominent over time?.

Answers

It is expected the recessive allele becomes more prominent over time.

In general, nature favors traits that help organisms survive and reproduce. This occurs through a process known as natural selection that helps the population to evolve to have favorable traits.

This evolution occurs externally as organisms change their physical traits or phenotype, but also at a genetic level.

This implies that even if a trait is genetically dominant if the trait does not favor survival and reproduction, this trait will slowly disappear or reduce over generations.

Based on this, the recessive allele will become more prominent because this trait favors reproduction, while the dominant allele will become less prominent.

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What is one drawback shared by both monopolies and oligopolies.

Answers

Answer:

They can harm consumers by fixing price

You select cell a1, hover the pointer over the cell border to reveal the move icon, then drag.

Answers

A spreadsheet is used to make the organization of data in a tabular form through a computer application software which can also perform mathematical operations.

With this in mind, we can see that the data is arranged in rows and columns as they can be used to record data for business invoices, expenditures, etc.

Some popular spreadsheets includes:

Micros0ft ExcelLibre0ffice, etc

A cell border can be added, resized and moved, along with the contents to another location.

Please note that your question is incomplete so I gave you a general overview to help  you better understand the concept.

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List down all the foods and drinks.

Answers

The list of foods we have for breakfast are:

Milk, bread, eggs, corn, and fruits.

Food is any substance we put in our mouth that is edible, digestible, and nourishes the body to make us grow.

Drinks are food substances in form of liquid that is ingested for the purposes of facilitating digestion and replenishing the lost water from the body.

Breakfasts are foods and drinks we eat in the morning and examples of them are:

Milk, bread, eggs, corn, and fruits.

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In casting experiments performed using a certain alloy.

Answers

Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds

Food that has been prepared or handled should never be placed on the salesfloor before it has been.

Answers

Food that has been prepared or handled should never be placed on the sales floor before it has been properly chilled to ensure the internal temperature is 10° (51°F) or less. It is important to avoid contamination.

It is important to have into account that the higher the temperatures; the faster food will decompose.

Pathogenic microorganisms (such as fungi and bacteria) can reproduce and grow at temperatures as low as 40°F.

The foods may deteriorate even in absence of noticeable modifications in odor, appearance and/or taste.  

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A spring with a spring constant of 150 n/m has an equilibrium length of 8. 0 cm. What is the change in spring potential energy when the spring is stretched from a length of 11. 0 cm to 14. 0 cm?.

Answers

When the spring is stretched to 11.0 cm - 8.0 cm = 3.0 cm = 0.030 m away from equilibrium, it stores

1/2 (150 N/m) (0.030 m)² = 0.0675 J

of potential energy, while stretching it to 14.0 cm - 8.0 cm = 6.0 cm = 0.060 m from equilibrium stores

1/2 (150 N/m) (0.060 m)² = 0.27 J

Then the change in potential energy is 0.27 J - 0.0675 J = 0.2025 J ≈ 0.21 J

I am thinking of two positive numbers in the ratio $5:3$. The difference between the two numbers is $90$. What is the sum of the two numbers?.

Answers

The sum of the two numbers is $ 360

Let the bigger number be x

Let the smaller number be y

From the question given above, we were told that two numbers exist in ratio $ 5 : $ 3

Thus,

x : y = 5 : 3

x/y = 5/3

Cross multiply

x = 5y/3 ............ (1)

Also, we were told from the question that difference between the two numbers is $ 90 i.e

x – y = 90 ........... (2)

Substitute the value of x in equation (1) into equation (2). We have:

x = 5y/3 ............ (1)

x – y = 90 ........... (2)

5y/3 – y = 90

Multiply through by 3

5y – 3y = 270

2y = 270

Divide both side by 2

y = 270 / 2

y = $ 135

Substitute the value of y into equation 1 to obtain the value of x.

x = 5y/3 ............ (1)

y = $ 135

x = (5 × 135)/3

x = 675 / 3

x = $ 225

Finally, we shall determine the sum of the two numbers.

x = $ 225y = $ 135Sum =?

Sum = x + y

Sum = 225 + 135

Sum = $ 360

Thus, the sum of the two numbers is $ 360

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A reaction was found to be zero order in a. Increasing the concentration of a by a factor of 3 will cause the reaction rate to.

Answers

Answer:

Where is the choices

Explanation:

please send it in comment section

Aiden is aware of the causes of type 2 diabetes. What can he do to help decrease his likelihood of developing the disease? drink more coffee read more books eat more vegetables play more board games.

Answers

Eat more vegetables
They are healthy so it will decrease getting diseases and the other options don’t help decrease the chances

Answer:

eat more veggies

Explanation:

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.

Answers

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.

All of the following are characteristics of the blue crab except.

Answers

Answer:

A. Blue Crab Doesn't Hav Teeth

B.

The distance between two cities on a map is 3. 5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?.

Answers

Answer:

70km

Explanation:

[tex] \frac{20}{1} \times 3.5[/tex]

= 70

Which of the following variables would be appropriate for a bar graph?.

Answers

Answer: your not showing any variables

Explanation:

put a picture and then we can answer

Which main problem is being solved by the hubble space telescope?.

Answers

Answer:Hubble’s main mirror being polished before installation

The Hubble Space Telescope's primary problem is option D, i.e., trying to identify the brightest stars in the galaxy.

What is a Hubble Space Telescope?

The Hubble Space Telescope is a space telescope that was initiated into low Earth orbit in 1990 and is still active today.

It was not the first space telescope, but it is one of the biggest and most versatile, known for its importance as a research tool as well as a public relations boon for astronomy.

Hubble was intended to be a multi-purpose observatory capable of exploring the universe in visible, ultraviolet, and infrared wavelengths.

To date, the telescope has studied over 40,000 cosmic objects, providing views that astronomers could not obtain from the ground.

The primary challenge for the Hubble Space Telescope is identifying the brightest stars in the galaxy.

Thus, the correct option is D.

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A group of campers walked at a speed of 4. 5 mph from their campsite to a rest area. Their return trip to the campsite took 15 minutes longer because their speed was only 4 mph. What is the distance between the campsite and the rest area?.

Answers

The distance between the campsite and the rest area is 9 miles.

The given parameters:

Initial speed of the campers, u = 4.5 mphFinal speed of the campers, v = 4 mph

Let the time of motion from the campsite to rest area = t (hours)

Time for return trip = t hours +  15 mins

                               = (t + 0.25) hours

Let the distance between the campsite and rest area = d

d = 4.5t

d = 4(t + 0.25)

4.5t = 4(t + 0.25)

4.5t = 4t + 1

4.5t - 4t = 1

0.5t = 1

t = 2 hours

The distance between the campsite and the rest area is calculated as follows;

d = 4.5t

d = 4.5 x 2

d = 9 miles

Thus, the distance between the campsite and the rest area is 9 miles.

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Masalimuot kahulugan.

Answers

what was the question?

Answer:

Masalimuot in English means Complicated

Explanation:

composed of elaborately interconnected parts; complex:

difficult to analyze, understand, explain, etc.:

if I give you points and you give me no points how many points do you have?

Answers

Then the person you gave points to would have however many you gave them. You would subtract from what you have and add that amount to the other person's, you'd need to add context for this question to actually get help

Explanation: You would have no points and I would have however many points you gave me.

When you add hot water to cold water the cold water warms up because of

Answers

Okay this is like Science or Chemistery, probably Sience

Answer:

So say you have some cold water running, if you turn on the hot water than the hot water will start coming too. The energy of the hot water will start warming up the cold water.

Explanation:

I don't really know, just tossing reasonable stuff out here.

In the photoelectric effect a photon with an energy of 5. 3.

Answers

In the photoelectric effect a photon with an energy of 5.3

True/false: bolsa thinks they should go to the zoo. True false.

Answers

Answer:

True

Explanation:

The given statement is true that bolsa thinks they should go to the zoo, from the story Sancho and Bolsa.

Who is Bolsa in the story?

Bolsa was a cartel founding member and close ally of Don Eladio and Hector Salamanca. His brother is the chief of police. He is a high-ranking member of The Cartel, having co-founded it with his boss Don Eladio and Hector Salamanca.

Juan Bolsa is a high-ranking member and co-founder of the Salamanca Cartel, which includes the Salamanca family and Gustavo Fring.

He also worked for a time with drug lord Gustavo Fring before the latter betrayed him and had him killed. Juan Bolsa, a Cartel major lieutenant, hired them to steal Lalo Salamanca's bail money, which totalled $7 million.

Therefore, the given statement is true, that the bolsa believes they should go to the zoo.

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