Respuesta :

Answer:

6^2 + 3^2 = sqrt 45

the answer is the sqrt of 45

Step-by-step explanation:

Answer:

[tex] 3\sqrt{5} [/tex]

Step-by-step explanation:

Use the distance formula and the coordinates of the points.

The upper left point is (-5, 3).

The lower right point is (-2, -3)

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

[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]

[tex] d = \sqrt{3^2 + (-6)^2} [/tex]

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

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

[tex] d = \sqrt{9 \times 5} [/tex]

[tex] d = 3\sqrt{5} [/tex]