Respuesta :

Answer:

6.7 units

Step-by-step explanation:

The distance between two points can be found using the formula below:

[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

Thus, distance between (-1, 2) and (2, -4)

[tex] = \sqrt{( - 4 - 2)^{2} + { [2-(-1) ]}^{2} } [/tex]

[tex] = \sqrt{ {( - 6)}^{2} + {(2 + 1)}^{2} } [/tex]

[tex] = \sqrt{36 + 9} [/tex]

[tex] = \sqrt{45} [/tex]

= 6.7 units (nearest tenth)

Additional:

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