Answer:
[tex] 2\sqrt{10} [/tex]
Step-by-step explanation:
Use the distance formula.
The distance, d, between points [tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex] is given by the distance formula below:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
In your case, we have:
[tex] x_1 = 1 [/tex]
[tex] y_1 = 6 [/tex]
[tex] x_2 = 3 [/tex]
[tex] y_2 = 0 [/tex]
Now we use those values in the formula.
[tex] d = \sqrt{(3 - 1)^2 + (0 - 6)^2} [/tex]
[tex] d = \sqrt{2^2 + (-6)^2} [/tex]
[tex] d = \sqrt{4 + 36} [/tex]
[tex] d = \sqrt{40} [/tex]
[tex] d = \sqrt{4 \times 10} [/tex]
[tex] d = 2\sqrt{10} [/tex]
