Final answer:
To find the distance between two points on a coordinate plane, we can use the Pythagorean theorem.
Step-by-step explanation:
To determine the distance between the points (-3, -6) and (5, 0), we can use the Pythagorean theorem. The distance can be calculated by finding the difference in x-coordinates and y-coordinates of the two points, and then using these differences as the lengths of the sides of a right triangle. The formula for the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given points, we can substitute the values:
d = √((5 - (-3))^2 + (0 - (-6))^2) = √(8^2 + 6^2) = √(64 + 36) = √100 = 10 units
Learn more about Pythagorean theorem and the coordinate plane