Respuesta :

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

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

[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)

[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)