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Approximate the distance between (-1,1) and (7,4) to the nearest tenth.

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Final answer:

To approximate the distance between the points (-1,1) and (7,4), the distance formula is used and the result is approximately 8.5 units to the nearest tenth.

Step-by-step explanation:

To approximate the distance between the points (-1,1) and (7,4) to the nearest tenth, we use the distance formula derived from the Pythagorean theorem:

Distance = √((x2 - x1)^2 + (y2 - y1)^2).

Here, (x1, y1) = (-1, 1) and (x2, y2) = (7, 4). We substitute these values into the formula:

Distance = √((7 - (-1))^2 + (4 - 1)^2)

Distance = √((8)^2 + (3)^2)

Distance = √(64 + 9)

Distance = √(73)

Using a calculator, we find that the distance is approximately 8.5 to the nearest tenth.

User DanScan
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