Question

Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)

Answer 1

The answer is 12.7 units

Explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(6,5) and T(-3,-4)

The distance between them is

`|ST| = \sqrt{ ({6 + 3})^(2) + ({5 + 4})^(2) } \\ = \sqrt{ {9}^(2) + {9}^(2) } \\ = √(81 + 81) \\ = √(162) \\ = 9 √(2) \: \: \\ = 12.7279...`

We have the final answer as

12.7 units to the nearest tenth

Hope this helps you