AWARDING EXTRA POINTS What is the distance between point B (-3, 3) and Point C (2, -7)?

Round your answer to the nearest tenth, or one decial place.

Respuesta :

Answer:

The answer is 11.2 units

Step-by-step explanation:

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

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

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

From the question the points are

B (-3, 3) and Point C (2, -7)

The distance between them is

[tex] |BC| = \sqrt{ ({ - 3 - 2})^{2} + ({3 + 7})^{2} } \\ = \sqrt{ ({ - 5})^{2} + {10}^{2} } \\ = \sqrt{25 + 100} \: \: \: \: \: \: \: \\ = \sqrt{125} \\ = 5 \sqrt{5} \: \: \\ = 11.18033[/tex]

We have the final answer as

11.2 units to the nearest tenth

Hope this helps you