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4 years ago

Identify this conic section. x 2 - 4x + y 2 - 4y + 4 = 12 line circle ellipse parabola hyperbola

Mathematics

2 answers:

ANTONII [103]4 years ago

7 0

Answer: The answer is (B) circle.

Step-by-step explanation: The given equation of the conic section is

$x^2-4x+y^2-4y+4=12.$

We are to select the correct type of the conic section from the given options.

Let us try to find the standard form of the given conic section as follows:

$x^2-4x+y^2-4y+4=12\\\\\Rightarrow (x^2-4x+4)+(y^2-4y+4)=12+4\\\\\Rightarrow (x-2)^2+(y-2)^2=16\\\\\Rightarrow (x-2)^2+(y-2)^2=4^2.$

Therefore, the given conic section is a circle with centre (2, 2) and radius 4 units.

The image of the circle is shown in the attached figure.

Thus, (b) Circle is the correct option.

Stells [14]4 years ago

4 0

The coefficients for the x² and the y² is the same, with the same sign, namely is +1 for both, and when that happens, what we have is a circle.

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3 years ago

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Jlenok [28]

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3 0

3 years ago

What expression represents the area of a circle with a radius of 7 units

Gwar [14]

Answer:

The area of the circle is 153.86 u²

And the expression is

a = π * (7 u)²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 7 units

π = 3.14

a = π * r²

we replace with the known values

a = π * (7 u)²

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Answer:

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3 years ago

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Contact [7]

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8 0

3 years ago

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