Final answer:
To calculate the distance between the points (9,2) and (-3,1), the distance formula is used. The result is approximately 12.04159458, which needs to be rounded to the nearest hundredth, giving a final answer of 12.04.
Step-by-step explanation:
The distance between two points (9,2) and (-3,1) can be calculated using the distance formula which is √((x2-x1)2 + (y2-y1)2). Plugging in our values, we get √(((-3)-9)2 + (1-2)2) which simplifies to √((12)2 + (-1)2) and further to √(144 + 1). The calculator gives us a distance of 12.04159458, but we need to round it to the nearest hundredth. This rounds to 12.04 as per the given instructions.