Respuesta :

A. 12.08

9 + 2 = 11

(So, 11 across on our x - axis from - 9 to 2)

Then, up 5 from 2 on our x-axis

Join the 2 dots of coordinates, & creating a triangle. Base 11, height 5

Use Pythagoras Theorem, to find that distance between the coordinates (the hypotenuse)

Root 11^2 + 5^2 = 12.083056...

(root means square root)

Hope this helps!

Answer:

Hello! The answer to this question is A. 12.08.

Step-by-step explanation:

The distance formula is:

[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2 }[/tex]

With the distance formula, we can now substitute the values from the points provided:

[tex]\sqrt{(2 - (-9))^2 + (5 - 0)^2} \\= \sqrt{11^2 + 5^2\\\\\\\\= \sqrt{121 + 25} \\=\sqrt{146} \\= 12.08[/tex]

The distance between the points is 12.08.