Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
2 answers:
We have a circumference that is given by the following equation:
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
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We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
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</span>
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