Final answer:
The distance between points A and B is the square root of 106 units, according to the Pythagorean theorem.
option B is correct.
Step-by-step explanation:
To find the distance between points A and B, we can use the Pythagorean theorem, which in this context relates the horizontal and vertical distances walked in a city block scenario to the straight-line distance between the starting and ending points. Given that the horizontal distance (Ax) is 9 blocks and the vertical distance (Ay) is 5 blocks, we calculate the straight-line distance using the formula:
A = √(Ax)² + (Ay)²
Substituting the given values:
A = √(9 blocks)² + (5 blocks)²
A = √81 + 25
A = √106
Therefore, the distance between points A and B is √106 units.