Answer:
the distance between (4,-2) and (0,4) is √(52) or approximately 7.2 units.
Explanation:
To find the distance between two points in a Cartesian coordinate plane, we can use the distance formula:
distance = √((x2-x1)² + (y2-y1)²)
In this case, the two points are (4,-2) and (0,4). So,
x1 = 4, y1 = -2 and x2 = 0, y2 = 4
By substituting these values in the distance formula, we get:
distance = √((0-4)² + (4-(-2))²)
distance = √((-4)² + 6²)
distance = √(16 + 36)
distance = √(52)
So the distance between (4,-2) and (0,4) is √(52) or approximately 7.2 units.