Find the distance between the points (0,4) and (3,0).
To find the distance between two points, I can use the distance formula, which is based on the Pythagorean theorem. The distance formula says that the distance d between the points (x1,y1) and (x2,y2) is d = sqrt((x2-x1)^2 + (y2-y1)^2). In this problem, I can label the point (0,4) as (x1,y1) and the point (3,0) as (x2,y2). Then, I can plug in the coordinates into the distance formula and simplify. d = sqrt((3-0)^2 + (0-4)^2) = sqrt(3^2 + (-4)^2) = sqrt(9 + 16) = sqrt(25) = 5. 