Obtener la distancia entre los siguientes pontos 1.- \( A\left(\frac{5}{2}, 3\right) \quad B(-4,-2) \)

19. Algebra What value of \( x \) allows you to apply the Converse of the Corresponding Angles Theorem to this figure? If \( x \) has this value, how are lines \( m \) and \( n \) related? 20. Determine the slope of the line passing through \( (3,6) \) and \( (6,0) \).

A normal distribution has a mean of 8 and a standard deviation of 2 . Use the \( 68-95-99.7 \) rule to find the percentage of values in the distribution between 8 and 14. What is the percentage of values in the distribution between 8 and 14 ? \( \square \% \)

Translate the problem to an equation. Do not solve. A gameboard has 62 squares. If you win 30 squares and your opponent wins the rest, how many does your opponent get?

Simplify each expression, assuming that no variable equals zero. Write your answer with positive exponents only. \( \begin{array}{llll}\text { 39. } y^{5} y^{2} & \text { 40. }-2 z^{3} z^{5} & \text { 41. }-2 y^{3}\left(5 x y^{4}\right) & \text { 42. } 6 x^{5} \cdot 3 x^{5} \cdot x^{0} \\ \text { 43. } \frac{m^{9}}{m^{5}} & \text { 44. } \frac{b b^{4}}{b^{2}} & \text { 45. } \frac{x^{2} x^{-5}}{x^{4}} & \text { 46. } \frac{s^{5} t^{2}}{s t^{-4}} \\ \text { 47. }\left(2 x^{4} y\right)^{3} & \text { 48. }\left(3 s t^{12}\right)^{3} & \text { 49. }\left(-5 w^{4} v^{5}\right)^{2} & \text { 50. }\left(-3 x^{2} y^{7}\right)^{3} \\ \text { 51. }\left(\frac{-2 z^{2}}{x^{3}}\right)^{7} & \text { 52. }\left(\frac{2 b^{4}}{-a^{2}}\right)^{3} & \text { 53. }\left(\frac{-2 p^{5} q^{-4}}{q^{3}}\right)^{3} & \text { 54. }\left(\frac{3 m^{2} n^{3}}{m^{-1}}\right)^{5}\end{array} \)

2. Determine the equation of the parabola after being transformed from \( f(x)=x^{2} \) by a vertical stretch of factor 4 , and a horizontal stretch of factor \( \frac{1}{3} \) reflected on the \( y \)-axis, and translations of 4 units to the right and 3 units up.