Final answer:
The length of AB with endpoints A(-1,0) and B(4,-3) is found using the distance formula, resulting in a length of √34, which corresponds to answer choice B) √34.
Step-by-step explanation:
To find the length of AB with endpoints A(-1,0) and B(4,-3), we use the distance formula derived from the Pythagorean theorem. The distance between two points (x1, y1) and (x2, y2) in a Cartesian plane is given as √[(x2 - x1)² + (y2 - y1)²].
Substituting the given points into this formula:
Distance AB = √[(4 - (-1))² + (-3 - 0)²] = √[(5)² + (-3)²] = √[25 + 9] = √34
Therefore, the correct answer is B) √34.