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Question 10 of 10If A = (0, 0) and B = (8, 2), what is the length of ?A.3.16 unitsB.8.25 unitsC.7.75 unitsD.9.41 units

Question

Question 10 of 10If A = (0, 0) and B = (8, 2), what is the length of ?A.3.16 unitsB.8.25 unitsC.7.75 unitsD.9.41 units

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Solution

The length of the line segment between two points (x1, y1) and (x2, y2) can be calculated using the distance formula derived from the Pythagorean theorem:

Distance = sqrt[(x2-x1)² + (y2-y1)²]

Here, A = (0, 0) and B = (8, 2). So, x1 = 0, y1 = 0, x2 = 8, and y2 = 2.

Substituting these values into the distance formula gives:

Distance = sqrt[(8-0)² + (2-0)²] = sqrt[(8)² + (2)²] = sqrt[64 + 4] = sqrt[68] = 8.246 (rounded to three decimal places)

So, the length of the line segment AB is approximately 8.25 units. Therefore, the correct answer is B.8.25 units.

This problem has been solved

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