what is the length between (0,4) and (-3,0) Using the Pythagorean Therom

To find the length between two points using the Pythagorean theorem, we can use the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Given the two points (0, 4) and (-3, 0), we can substitute these values into the formula:

d = √((-3 - 0)^2 + (0 - 4)^2)
d = √((-3)^2 + (-4)^2)
d = √(9 + 16)
d = √25
d = 5

Therefore, the length between (0, 4) and (-3, 0) using the Pythagorean theorem is 5 units.