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Katarina [22]
3 years ago
9

3. Write the equation of a parabola with focus (-2, 4) and directrix y = 2. Show your work, including a sketch.

Mathematics
1 answer:
aleksklad [387]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:

 1. (x0,y0) is any point of the parabola.

 2. You have that the distance between (x0,y0) and the the focus (-2,4) is:

 √(x0-(-2))²+(y0-4))²
 √((x0-+2)²+(y0-4))²

 3. The distance between (x0,y0) and the directrix y=2, is:

 |y0-2|

 4. Then, you have:

 √((x0-+2)²+(y0-4))²= |y0-2|

 5. When you simplify it and you clear y0, you obtain:

 y0=(x0²/4)+x0+4

6. Therefore, <span>the equation of the parabola with focus (-2, 4) and directrix y = 2, is:
</span>
 y=(x²/4)+x+4

 7. The graph is shown in the figure attached.

 The answer is: y=(x²/4)+x+4 

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there are 148 juniors and 272 seniors attending prom this year. if there must be three chaperones per 60 students, how many chap
valkas [14]

21 chaperones are needed for 420 students.

Step-by-step explanation:

No. of juniors = 148

No. of seniors = 272

Total = 148+272 = 420 students

3 chaperones = 60 students

1 chaperone = \frac{60}{3}=20\ students

Ratio of chaperon to students = 1:20

Let,

x be the number of chaperons for 420 students.

Ration of chaperones to students = x:420

Using proportion

Ratio of chaperones to students :: Ratio of chaperons to students

1:20::x:420

Product of mean = Product of extreme

20*x=420*1\\20x=420\\

Dividing both sides by 20

\frac{20x}{20}=\frac{420}{20}\\x=21

21 chaperones are needed for 420 students.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

3 0
3 years ago
Suppose that you're making an inventory of mule deer
schepotkina [342]
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4 0
2 years ago
Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the
leonid [27]

Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The matched pairs are as follows:

Population: 2. All Toyota Camry (2020 US) model cars.

Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.

Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.

Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.

7 0
3 years ago
5 inches of rain in 24 hours
Contact [7]
0.2 inches of rain per hour is the best answer you can get. Period.
3 0
3 years ago
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When <img src="https://tex.z-dn.net/?f=2x%5E3-4x%5E2-5x-2" id="TexFormula1" title="2x^3-4x^2-5x-2" alt="2x^3-4x^2-5x-2" align="a
adelina 88 [10]

Answer:

a=5

b=-14

I'm not sure if this is what ur lookin for but this is supposed to be the answer

4 0
3 years ago
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