Respuesta :

Answer:

√218

Step-by-step explanation:

Distance-√(x2-x1)+(y2-y1)

Answer:

The answer is

[tex]\sqrt{218} \: \: or \: \: 14.76 \: \: \: 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

(-4, 6) and (3.-7)

The distance between them is

[tex]d = \sqrt{ ({ - 4 - 3})^{2} + ({6 + 7})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {13}^{2} } \\ = \sqrt{49 + 169} \\ = \sqrt{218} \: \: \: \: \: \: \: \: \: \: \\ = 14.764823[/tex]

We have the final answer as

[tex] \sqrt{218} \: \: or \: \: 14.76 \: \: \: units[/tex]

Hope this helps you