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Answer:
10
Step-by-step explanation:
Use the distance formula.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We have x1 = 2; y1 = 0; x2 = -6; y2 = 6.
[tex] d = \sqrt{(-6 - 2)^2 + (6 - 0)^2} [/tex]
[tex] d = \sqrt{(-8)^2 + 6^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Answer: 10