Respuesta :

Answer:

[tex] \sqrt{113} [/tex]

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (-4, -5) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]

[tex] d = \sqrt{64 + 49} [/tex]

[tex] d = \sqrt{113} [/tex]

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