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Eva8 [605]
2 years ago
15

How do you to tell the difference between an ellipse, hyperbola, parabola, or circle if all are in standard form?

Mathematics
1 answer:
NeX [460]2 years ago
6 0

Step-by-step explanation:

General form of a conic section is:

Ax² + Bxy + Cy² + Dx + Ey + F = 0

If B = 0:

Parabola: Either x² or y² term, but not both

Circle: x² and y² have the same coefficient

Ellipse: x² and y² have different positive coefficients

Hyperbola: x² and y² have different signs

Otherwise, look at the discriminant.

If B² − 4AC < 0, then the conic is an ellipse.

If B² − 4AC = 0, then the conic is a parabola.

If B² − 4AC > 0, then the conic is a hyperbola.

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In a survey of 2 comma 3002,300 people who owned a certain type of​ car, 1 comma 2651,265 said they would buy that type of car a
iren [92.7K]

Answer:

55% of the people surveyed were satisfied with the​ car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the​ car

8 0
2 years ago
Question 2: If I increase the price of a dress by 15%, what would<br> the multiplier be ?
sukhopar [10]
If the price was $1 and it increased by 15% it would now be $1.15 therefore the multiplier is 1.15 as that increases a number by 15%
6 0
3 years ago
5x-3=11-2x. I gotta
ryzh [129]

Answer:

x = 2

Step-by-step explanation:

Add 2x from each side giving you

7x - 3 = 11

Add 3 to each side

7x = 14

Divide by 7

x = 2

6 0
2 years ago
Read 2 more answers
The infield of a baseball field is a square
AnnZ [28]

Answer:

  106.1 ft/s

Step-by-step explanation:

You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.

The speed is the ratio of distance to time:

  speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.

_____

In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:

  d² = 1² + 1²

  d² = 2

  d = √2

Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.

7 0
2 years ago
What is the value of x?<br> 36°
NARA [144]
Your answer would be 54 degrees since 90+36=126 so then you subtract 126 from 180 and get 54
8 0
2 years ago
Read 2 more answers
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