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Answer:
D
Step-by-step explanation:
We want to find the distance between (-6, 4) and (-8, 6).
We can use the distance formula given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(-8-(-6))^2+(6-4)^2[/tex]
Evaluate:
[tex]d=\sqrt{(-2)^2+(2)^2[/tex]
Evaluate:
[tex]d=\sqrt{4+4}=\sqrt{8}[/tex]
Hence, our answer is D.