Answer:
[tex]10.8 units[/tex]
Step-by-step explanation:
To find the answer, we need to use the distance formula.
[tex]d=\sqrt{(x-x)^2 +(y-y)^2}[/tex]
Let us look at our points. We have:
[tex](-2, 5)[/tex] and [tex](-6, -5)[/tex]
Now, let's identify our x's and y's:
x₁ = -2
y₁ = 5
x₂ = -6
y₂ = -5
Plug it in to the distance formula and simplify:
[tex]d=\sqrt{(-6+2)^2+(-5-5)^2}[/tex]
[tex]d=\sqrt{(-4)^2+(-10)^2}\\d=\sqrt{16 +100} \\d=\sqrt{116}\\[/tex]
[tex]d=2\sqrt{29}[/tex] OR [tex]10.77032961...[/tex]
