Final answer:
Option A). The distance between the points (6, 13) and (1, 1) is 13 units.
Step-by-step explanation:
The length of the line segment in a plane that joins two locations is the distance between them. Typically, the formula to calculate the distance between two points is d=√((x2 – x1)² + (y2 – y1)²).
To find the distance between the points (6, 13) and (1, 1), we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
d = √((1 - 6)^2 + (1 - 13)^2)
Simplifying this, we get:
d = √((-5)^2 + (-12)^2)
d = √(25 + 144)
d = √(169)
d = 13
Therefore, the distance between the points (6, 13) and (1, 1) is 13 units.