Final answer:
To find the distance between the points (3, -3) and (2, 7), apply the distance formula and calculate the square root of the sum of the squares of the differences in the x and y coordinates, resulting in a distance of approximately 10.0 when rounded to the nearest tenth.
Step-by-step explanation:
To find the distance between two points (3, -3) and (2, 7), you can use the distance formula:
d = √[(x2 - x1)2 + (y2 - y1)2]
Substituting the given points into the formula gives us:
d = √[(2 - 3)2 + (7 - (-3))2]
d = √[(-1)2 + (10)2]
d = √[1 + 100]
d = √101
Using a calculator, we find that d is approximately 10.0499.
When rounded to the nearest tenth, the distance is 10.0.