Determine whether the statement is true or false. If the statement is false, explain why The distance between the points \( (0,0) \) and \( (9,9) \) is 9 . A. The statement is false. The distance is \( \square \). (Simplify your answer. Type an exact answer, using radicals as needed.) B. The statement is true.

11) Which of the points \( (x, y) \) does NOT lie on the unit circle? a) \( O P(1,0) \) b) \( Q\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) \) c) \( O R\left(\frac{1}{3}, \frac{2}{3}\right) \) d) \( \bigcirc s\left(-\frac{3}{5},-\frac{4}{5}\right) \)

13. Sean el plano \( \pi \equiv 2 x+k y+z-6=0 \) y la recta \( r \equiv\left\{\begin{array}{l}x=2 t \\ y=2+6 t \\ z=2-4 t\end{array}\right. \) a) ¿Para qué valor de \( k \) la recta es paralela al plano? b) Para \( k=2 \), halla el ángulo que forman el plano \( \pi y \) la recta \( r \).

إذا كانت النقاط هي (2, 3) و (5, 7)، فما هو الميل بينهما؟

22) Find the exact area of an equilateral triangle whose sides are 8 in. a) \( 0 \frac{8}{3} \sqrt{3} \mathrm{in}^{2} \) b) \( 016 \sqrt{3} \mathrm{in}^{2} \) c) \( 064 \mathrm{in}^{2} \) d) \( 08 \mathrm{in}^{2} \)

À l'aide du triangle RST ci-contre, prouver que la longueur ST d'un escalator est de \( 13,6 \mathrm{~m} \).