Final answer:
The distance between the points (4, 8) and (9, 20) is calculated using the distance formula, which results in 13 units.
Step-by-step explanation:
To find the distance between the two points (4, 8) and (9, 20), we use the distance formula derived from the Pythagorean theorem:
d = √((x2 - x1)² + (y2 - y1)²)
Substituting the given points:
d = √((9 - 4)² + (20 - 8)²)
d = √(5² + 12²)
d = √(25 + 144)
d = √169
d = 13
Therefore, the distance between the points (4, 8) and (9, 20) is 13 units.