Final answer:
The distance between the points (10,10) and (-10,-12) is found using the distance formula, which yields approximately 29.73 units.
Step-by-step explanation:
To find the distance between the points (10,10) and (-10,-12), we use the distance formula from coordinate geometry. The distance formula is derived from the Pythagorean theorem and is given by:
D = √[(x2 - x1)^2 + (y2 - y1)^2]
Where (x1, y1) and (x2, y2) are the coordinates of the two points. Let's apply this formula to the given points:
D = √[(-10 - 10)^2 + (-12 - 10)^2]
D = √[(-20)^2 + (-22)^2]
D = √[400 + 484]
D = √[884]
D = 29.7321 (approximately)
Therefore, the distance between the two points (10,10) and (-10,-12) is approximately 29.73 units.