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Question 5 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Which graph represents the solution of the following system? x squared plus y squared is equal to 4 x minus y is equal to 1

Answer

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The center of circle is at the origin and has a radius of 4 units. The line passes through (negative 3 comma negative 4), (0 comma negative 1), and (1 comma 0).

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The center of the circle is at the origin and has a radius of 2 units. The line passes through (negative 3 comma 4), (0 comma 1), and (1 comma 0).

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The circle has a center at the origin and a radius of 4 units. The line goes through (negative 3 comma 4), (0 comma1), and (1 comma 0).

Image with description On a coordinate plane, the scale on the x and y axis ranges from negative 6 to 6 with an interval of 1 unit. The circle has a center at the origin and a radius of 2 units. The line goes through (negative 3 comma negative 4), (0 comma negative 1), and (1 comma 0).

Explanation

The equation x² + y² = 4 is a circle centered at (0, 0) with radius 2, since the radius squared is 4. Rearranging x − y = 1 gives y = x − 1, so the line passes through (0, −1), (1, 0), and (−3, −4). Choice D shows both the radius-2 circle and that line.

AI-written and checked against the verified answer.

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