Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer 1

Answer:

x2 + (y + 8)2 = 36

Step-by-step explanation:

:) took the test

Answer 2

The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

What is the Standard form of a Circle?

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given that,

A circle has a diameter of 12 units.

So radius = 12 / 2 = 6 units

Center of the circle lies on the Y axis.

So the x coordinate of the center of the circle will be 0.

So, in (h, k), h = 0

So the equation will be of the form,

(x - 0)² + (y - k)² = 6²

x² + (y - k)² = 36

Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

Learn more about Equations of Circles here :

https://brainly.com/question/29288238

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Related Questions

Which statement is true about the prime polynomial 2x2 + 3x + 3?

It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

it cannot be modeled with a rectangle

Step-by-step explanation:

let's eliminate the wrong answers first

1. it cannot be modeled with all positive tiles --- this incorrect because it is all positive, so it CAN be modeled with all positive tiles

2. it can only be modeled with an odd number of tiles -- not true, because 2x^2 is  even number of tiles

3. it can be modeled with a square -- to be modeled as a square, the polynomial have to be factored into square ie (x+2)², but cann't be factored as square, so again not true

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Answer:

A: It cannot be modeled with a rectangle.

Step-by-step explanation:

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Answers

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-6(x=4)(2x+1)

Step-by-step explanation:

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Answers

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Answers

Answer:

For the one on the far left its 104 m2

Step-by-step explanation:

u split the shape in a square and rectangle

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Answers

Step-by-step explanation:

that means we divide 2/3 by 4.

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

k=20

Step-by-step explanation:

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Answers

Answer: (5,-2)

Step-by-step explanation:

I'm assuming the equations are:

Y=-(6/5)x +4

y = -(1/5)x -1  [Note that I changed "y-" to just "y."]

We can solve this in one of two ways:  Mathematically and Graphically.

Math:  

y = -(1/5)x -1

6y = -(6/5)x -6

-(Y=-(6/5)x +4)

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y = -(1/5)x -1

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Graph:

See the attached graph.  The lines intersect at (5,-2)

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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yk maths pooo

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answer:

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Answers

Answer:

y = 6x - 4

Step-by-step explanation:

I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.

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Answer:

Step-by-step explanation:

Bu using the formula of Two-Points form:

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Answers

Answer:

70.2

Step-by-step explanation:

777 = 10h + 75

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

B 16a + 20

Step-by-step explanation:

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Answers

Answer:

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