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Find the distance between A(-1,-5) and B(-4,6).

a) - 11/13
b) - 130
c) 11.4
d) - 13/11

1 Answer

6 votes

Final answer:

The distance between points A(-1,-5) and B(-4,6) is found using the distance formula, resulting in a value of approximately 11.4 units. Therefore, the correct answer is c) 11.4.

Step-by-step explanation:

To find the distance between two points A and B in a Cartesian plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is √((x2 - x1)² + (y2 - y1)²).

For the points A(-1,-5) and B(-4,6), the distance calculation is as follows:

  • First, determine the differences in x-coordinates and y-coordinates.
  • Δx = x2 - x1 = -4 - (-1) = -3
  • Δy = y2 - y1 = 6 - (-5) = 11
  • Insert these values into the distance formula.
  • Distance = √((-3)² + (11)²) = √(9 + 121) = √(130)
  • Therefore, the distance is √(130), which is approximately 11.4 units.

The correct answer to the student's question is c) 11.4.

User Anirudh Jayakumar
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