To determine which statement is true about the distance from James' house to Sarah's house taking street C, we need to analyze each option carefully, especially in a geometry context where distances could involve Pythagorean theorem if it's a right triangle situation.
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The distance would be 22 + 1.5².
- This seems unusual as it combines a constant and a squared term in a way that is not typical for a calculating distance.
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The distance would be 2² + 1.5².
- This suggests using the Pythagorean theorem (assuming right angles), which makes sense. This computes to 4 + 2.25 = 6.25, which represents a distance squared.
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The distance would be longer than going across A street to B street to get to Sarah's house.
- This compares distances without concrete details of the actual paths, so we can’t determine if this statement is true without additional context.
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The distance would be shorter than going across A street to B street to get to Sarah's house.
- Similar to the previous point, we need more context.
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The distance would be (2 + 1.5)².
- This also suggests a different context of summing segments before squaring, which might not accurately represent distance directly.
Without additional context about the geometry or layout, it’s difficult to succinctly verify the accuracy of each statement. However, typically:
- If you're comparing paths, typically the direct route (using the short side of a right triangle) tends to be shorter than the longer route (using the sum of the two legs of the triangle).
Therefore, the third and fourth statements (about being longer or shorter than another route) cannot be definitively determined without further context; but if applying the Pythagorean theorem is relevant here, the second statement (2² + 1.5²) is the most mathematically sound for determining a potential distance based on right-angle assumptions.