Which of the following equations will produce the graph shown below?

Option (B) is correct.

 equation will produce the graph shown.

Step-by-step explanation:

Given  a graph showing circle .

We have to determine the equation that will produce the graph shown.

Consider the given graph.

It shows a circle with radius 4.5

The general equation of circle is represented by    

Since option (A) represents the equation of hyperbola.

Option (C) represents the equation of circle with radius 4, but the given graph has radius grater than 4 .

Option (D) can be rewritten as  by dividing by 6,

 which is a equation of circle with radius 4.9 (approx)

Thus, only Option (B) works for the given graph.

Multiply , by 20 , we get,

also,

Thus, Option (B) is correct.

The equation 6x² + 6y² = 144 is correct

The standard equation of a circle can be expressed as:

where;

From the diagram, we can see that the radius of the circle is between 4 and 5.  Hence the correct equation must have a radius between these values

From the option, we can see that the only equation that will have a radius between 4 and 5 is

Divide through by 6:

Since the square root of 24 is between 4 and 5, hence the equation 6x² + 6y² = 144 is correct

Learn more on equation of a circle here: link

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step-by-step explanation:

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