## A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Che

Question

A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.
A circle and a line always intersect, so the system can have an infinite number of solutions.
A circle and a line can intersect at one point, so the system can have one solution.
A circle and a line can intersect at three points, so the system can have three solutions.
A circle and a line can intersect twice, so the system can have two solutions.
A circle and a line do not have to intersect, so the system can have no solution.

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3 years 2021-08-28T07:42:37+00:00 1 Answers 10 views 0

the solution is where the two objects intersect …

1) A line can completely miss the circle (no solutions is possible)

2) a line can “kiss” the circle at one point (one solution)

3) note that a line can not “bend”… it can touch one side of the circle pass

through the center and touch the circle in a second spot (going out) .. two solutions…

those are the three possibility that are in the question that was posted…