Given Coordinates: x1 = 5 y1 = 0, x2 = 1 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − 5)2 + (4 − 0)2
d = √(-4)2 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (5, 0) and (1, 4) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − 5)2 + (4 − 0)2
d = √(-4)2 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (5, 0) and (1, 4) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
