To prove that the point B(7,4) lies on circle A, Negin should use the distance formula to calculate the length of segment AB.
The distance formula is used to find the distance between two points in a coordinate plane. For circle A, which has a center at (4,4) and a radius of 3, if the distance from the center (4,4) to the point B(7,4) is equal to the radius (3), then point B lies on the circle.
So the correct answer is: Negin should use the distance formula to calculate the length of segment AB.