Please Help, I can't figure out this problem

Find the distance between the points (9,-7) and (5, -4).

A.
[tex] \sqrt{137} [/tex]
B.
5

C.
[tex] \sqrt{7} [/tex]
D.
25​

Respuesta :

Answer:

The answer is 5 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 (9,-7) and (5, -4)

The distance between them is

[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]

We have the final answer as

5 units

Hope this helps you

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