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4 years ago

Which points are the vertices of the ellipse?

Mathematics

2 answers:

Lera25 [3.4K]4 years ago

6 0

1. The general equation of an ellipse is shown below:

((x-h)²/a²)+((y-k)²/b²)=1

2. As you can see in the graph, the center of the ellipse is (0,0),; Then, you have that the formula is:

((x-0)²/a²)+((y-0)²/b²)=1
(x²/a)+(y²/b)=1

3. The figure attached in the problem shows that the ellipse is vertical, then its vertices are the following points:

S(0,6) and T(0,-6)

4. Therefore the correct answer is the las option: d) Points S and T.

Archy [21]4 years ago

4 0

Answer:

1. The general equation of an ellipse is shown below:

((x-h)²/a²)+((y-k)²/b²)=1

2. As you can see in the graph, the center of the ellipse is (0,0),; Then, you have that the formula is:

((x-0)²/a²)+((y-0)²/b²)=1

(x²/a)+(y²/b)=1

3. The figure attached in the problem shows that the ellipse is vertical, then its vertices are the following points:

S(0,6) and T(0,-6)

4. Therefore the correct answer is the last option: d) Points S and T.

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Explain how to determine the number of real solutions of x²=50 without solving.

Olenka [21]

${x}^{2} = y\Leftrightarrow x = \pm \sqrt{y} \\ \Rightarrow There \: are \: 2 \: real \: solutions \: for \: {x}^{2} = 50$

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4 years ago

Jesse has been saving his earnings from his lemonade stand. Jesse has 47 dollars to spend. If He buys a new hat for 19 dollars,

nalin [4]

Answer:

Step-by-step explanation:

so you need to do this

follow this

47 - 19 = 28

28 ÷ 7 = 4

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1 year ago

There are two types of farming tractors on the market, the FT250 and the FT500. The only difference between the two is that the

irina [24]

Answer:

The statistical value farmers place on avoiding a tractor accident is $200,000.

The statistical value farmers place on avoiding a tractor fatal accident is $15,000,000.

Step-by-step explanation:

We have two tractors, with different probabilities of non-fatal and fatal accidents, and also different prices.

We will use this price difference to estimate how it is valued a non-fatal and fatal accident.

The difference in prices is:

$\Delta P=125,000-137,000=-12,000$

The expected non-fatal accidents for each tractor is

$FT500\rightarrow 1/10=0.1\\\\FT250 \rightarrow 1/25=0.04$

The difference in expected non-fatal accidents is:

$\Delta NFA = 0.10-0.04=0.06$

For a 6% more chance of having an accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{NFA}=\frac{-\Delta P}{\Delta NFA} =\frac{12,000}{0.06} =200,000$

The expected fatal accidents for each tractor is

$FT500\rightarrow 1/1,000=0.0010\\\\FT250 \rightarrow 1/5,000=0.0002$

The difference in expected fatal accidents is:

$\Delta NFA = 0.0010-0.0002=0.0008$

For a 0.08% more chance of having an fatal accident, the farmers discounts 12,000 for the price of the less safe of the tractors.

Then, we can calculate the statistical value farmes place on avoiding a tractor accident as:

$V_{FA}=\frac{-\Delta P}{\Delta FA} =\frac{12,000}{0.0008} =15,000,000$

8 0

3 years ago

Senior classes high school A and high school B planned separate trips to New York City. The senior class at high school a rented

aleksandr82 [10.1K]

The answer will be I believe is 25.16. you will dived 372 by 12 and what you get from that you will dived 780 by the answer.

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3 years ago

Find the slope (rate of change) for the following table

Nimfa-mama [501]

Answer:

Slope: 0.3

Step-by-step explanation:

divide 3 by 10 then you got your answer

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3 years ago