Final answer:
To find the distance between the coordinates A(-8, -6) and B(4, 10), use the distance formula. The distance is 20 units.
Step-by-step explanation:
To find the distance between the given coordinates: A(-8, -6) and B(4, 10), we will apply the distance formula derived from the Pythagorean theorem. The distance (d) between two points (x1, y1) and (x2, y2) in a Cartesian coordinate plane is given by:
d = √[(x2 - x1)² + (y2 - y1)²]
For the points A(-8, -6) and B(4, 10), substitute the respective coordinates into the formula:
d = √[(4 - (-8))² + (10 - (-6))²]
d = √[(4 + 8)² + (10 + 6)²]
d = √[12² + 16²]
d = √[144 + 256]
d = √[400]
d = 20 units
The distance between points A and B is therefore 20 units.