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Eva8 [605]
3 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]3 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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Drag the tiles to the correct boxes to complete the pairs.
Alborosie

2⁻³² = (-2²)⁻⁶ • (2⁻⁵)⁻⁴

2⁻⁵ = (2²)² • (2³)⁻³

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6 0
3 years ago
Two containers, A and B begin with equal volumes of liquid.
Reika [66]

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

8 0
3 years ago
What’s the solution to the system of equations
sesenic [268]

Answer:

The answer to the system of equations is 4, -4

5 0
2 years ago
Read 2 more answers
If you bent length 44 cm is bent into a circle find the radius of the circle?If the same wire is bent into the shape of a square
Tju [1.3M]

Answer:

r = 7 cm; l = 11cm

The circle encloses more area than the square

Step-by-step explanation:

(a) Radius of circle

The formula for the circumference of a circle is

A = 2πr

r = A/(2π)

Data:

C = 44 in

Calculation:

r = 44/(2 × 22/7)

   = 44/2 × 7/22

   =   2/2 × 7

   = 7 in

(b) Side of square

P = 4l

l =   P/4

  = 44/4

  = 11 in

(c) Areas

(i) Circle

A = πr²

  = 22/7 ×   7²

  = 22/7 × 49

  = 22    ×   7

  = 154 cm²

(ii) Square

A = l²

  = 11²

  = 121 cm²

The circle encloses more area than the square.

5 0
3 years ago
Question 3
DanielleElmas [232]
It would be -6. -4-6 is -10
6 0
3 years ago
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