Trazar un par de rectas paralelas con una distancia entre ambas de 4 cm . A partir del centro de una de ellas,trazar una circunferencia de 8 cm de diámetro. Ahora,trazar otro diámetro,perpendicular a las líneas paralelas.Marcar con rojo un par de ángulos opuestos por el vértice.¿Cuánto miden?¿Por qué? Luego trazar una cuerda oblicua.Marcar con verde dos pares de ángulos opuestos por el vértice,medirlos.Por último marcar con azul un par de ángulos adyacentes.¿Cuanto miden?

Activity 5.5 Calculate \( (E F)\left(F^{-1} E^{-1}\right) \) using the matrices obtained above. Find \( (F E)^{-1} \) using Gauss-Jordan elimination and check that it is the same as \( E^{-1} F^{-1} \) Example 5.12 Find \( \left[\begin{array}{ccc}1 & 4 & 6 \\ 3 & 6 & 48 \\ -2 & -12 & 8\end{array}\right]^{-1} \)

If \( f(x)=x^{3}+8 x^{2}-5 x-84 \), which of the following is a factor of \( f(x) \) ? Answer \( (x-7) \) \( (x-4) \) \( (x+7) \) \( (x+3) \)

The limiting reactant is the chemical substance that determines the amount of product(s) that can ultimately be formed in a reaction. During the reaction, the limiting reactant is completely consumed or used up and therefore causes the reaction to stop. The limiting reactant can be identified through stoichiometric calculations. After comparing the results, the reactant that produces the smaller mass of product is identified as the limiting reactant. Determine the limiting reactant and calculate the number of grams of \( \mathrm{NH}_{3} \) that can be formed when 25.0 grams of \( \mathrm{N}_{2} \) and 25.0 grams of \( \mathrm{H}_{2} \) react. \[ \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g) \]

If \( f(x)=x^{3}+6 x^{2}-9 x-14 \), which of the following is a lactor of \( f(x) \) ? \( \begin{array}{l}(x+1) \\ (x-7) \\ (x+2) \\ (x-10)\end{array} \) \( \begin{array}{l}\text { Answer } \\ (x+1)\end{array} \)

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