The length of the line segment AB can be calculated using the distance formula derived from the Pythagorean theorem. The distance d between two points A(x1, y1) and B(x2, y2) is given by:

d = 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:

d = 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. The correct answer is B. 8.25 units.

Question

The length of the line segment AB can be calculated using the distance formula derived from the Pythagorean theorem. The distance d between two points A(x1, y1) and B(x2, y2) is given by:

d = 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:

d = 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. The correct answer is B. 8.25 units.

Knowee AI · Accepted Answer

The length of the line segment AB can be calculated using the distance formula derived from the Pythagorean theorem. The distance d between two points A(x1, y1) and B(x2, y2) is given by:

d = 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:

d = 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. The correct answer is B. 8.25 units.

If 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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