Final answer:
The exact distance between the points (9.8, -21.6) and (12.8, -25.6) is 5 units.
Step-by-step explanation:
To find the distance between two points in the Cartesian plane, we can use the distance formula, which is based on the Pythagorean theorem. The formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Given the points (9.8, -21.6) and (12.8, -25.6), we can plug in the values into the formula.
Let's calculate the distance:
d = sqrt((12.8 - 9.8)^2 + (-25.6 - (-21.6))^2)
= sqrt(3^2 + (-4)^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
So, the exact distance between the points is 5 units.