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
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.
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