Answer:
11. 10
12. 13
Step-by-step explanation:
Use the distance formula.
11.
(3, 4) and (-3, -4)
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-3 - 3)^2 + (-4 - 4)^2} [/tex]
[tex] d = \sqrt{(-6)^2 + (-8)^2} [/tex]
[tex] d = \sqrt{36 + 64} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
12.
(0, 0) and (-5, -12)
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(-5 - 0)^2 + (-12 - 0)^2} [/tex]
[tex] d = \sqrt{(-5)^2 + (-12)^2} [/tex]
[tex] d = \sqrt{25 + 144} [/tex]
[tex] d = \sqrt{169} [/tex]
[tex] d = 13 [/tex]
