11. Determine the distance between (-7,3) and (-2,9). Only enter the final answer rounded to the nearest tenth, if necessary.
Using the distance formula:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
We get:
d = sqrt((-2-(-7))^2 + (9-3)^2)
d = sqrt(5^2 + 6^2)
d = sqrt(61)
d ≈ 7.8 (rounded to the nearest tenth)
Therefore, the distance between (-7,3) and (-2,9) is approximately 7.8 units.