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A rectangle is bounded by the x-axis and the semicircle...

A) Above the x-axis
B) Below the x-axis
C) Touches the x-axis
D) Does not intersect the x-axis

User Nomistic
by
8.4k points

1 Answer

4 votes

Final answer:

The correct option is (A) Above the x-axis, as the rectangle is bounded by the x-axis and a semicircle that lies entirely above the x-axis.

Step-by-step explanation:

The given information suggests that the rectangle is formed by the x-axis and a semicircle. If the semicircle lies entirely above the x-axis, the rectangle formed by these elements would be above the x-axis. Therefore, the correct option is (A) Above the x-axis. This implies that the bottom side of the rectangle is aligned with the x-axis, and the semicircle is positioned above it.

For the rectangle to be below the x-axis (Option B), it would mean that the semicircle is positioned below the x-axis, which is not consistent with the given information. Similarly, if the rectangle touches the x-axis (Option C), the semicircle would have to intersect the x-axis, which contradicts the statement that the rectangle is bounded by the x-axis and the semicircle. Lastly, if the rectangle does not intersect the x-axis (Option D), it would imply that the entire structure is above the x-axis, aligning with Option A.

User Ken Mason
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