Question

Distance between (-10,9) and (-5,2)

Answer 1

8.60 units (3 s.f.)

Explanation:

The distance between 2 points is given by the formula:

`\sqrt{(y1 - y2)^(2) + {(x1 - x2)}^(2) }`

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

`= \sqrt{ {(9 - 2)}^(2) + {( - 10 + 5)}^(2) } \\ = \sqrt{ {7}^(2) + ( - 5)^(2) } \\ = √(74) \\ = 8.60 \: units \: (3 \: s.f.)`