The equation that will produce the given graph is; 6x² + 6y² = 144
<h3>What is the equation of the Circle?</h3>
The standard equation of a circle can be expressed as:
(x + a)² + (y - b)² = r²
where;
(a, b) is the center of the circle
r is the radius of the circle.
From the diagram, we can see that the radius of the circle is between 4 and 5. Thus, 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;
6x² + 6y² = 144
Divide through by 6 to get;
x² + y² = 24
x² + y² = √24
Thus r = √24 which is greater than 5
Read more about Equation of Circle at; brainly.com/question/1559324
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Answer:
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Step-by-step explanation:
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