Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-6-2)^2+(-2-7)^2[/tex]
Subtract:
[tex]d=\sqrt{(-8)^2+(-9)^2[/tex]
Square:
[tex]d=\sqrt{64+81}[/tex]
Add:
[tex]d=\sqrt{145}[/tex]
Approximate
[tex]d=\sqrt{145}\approx12.04[/tex]
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
