Find the distance between the points (3,6) and (10,4). The answer must be a whole number or a fully simplified radical expression do not round up

Respuesta :

Answer:

The answer is

[tex]\sqrt{53} \: \: \: units[/tex]

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

(3,6) and (10,4).

The distance is

[tex]d = \sqrt{ ({3 - 10})^{2} + ({6 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {2}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{53} \: \: \: units[/tex]

Hope this helps you