Answer:
8.60 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula:
[tex] \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]
Thus using the above formula,
Distance between (-10, 9) and (-5, 2)
[tex] = \sqrt{ {(9 - 2)}^{2} + {( - 10 + 5)}^{2} } \\ = \sqrt{ {7}^{2} + ( - 5)^{2} } \\ = \sqrt{74} \\ = 8.60 \: units \: (3 \: s.f.)[/tex]