n aluminum-alloy rod has a length of 10.000 cm \( 20^{\circ} \mathrm{C} \) and a length of 10.015 cm at the boiling int of water. (a) What is the length of the rod the freezing point of water? (b) What is the mperature if the length of the rod is 10.009 cm ?

In a pair of similar triangles, if one triangle has sides measuring 4 cm, 6 cm, and 8 cm, and the corresponding side in the other triangle measures 16 cm, what are the lengths of the other two sides?

tor linear expressions: area models QAL area model to factor \( 36 u-9-45 v \)

Las gráficas a) y b) representan respectivamente las funciones : \( \begin{array}{ll}\text { a. } \operatorname{Sen} \theta \text { y } \operatorname{ctg} \theta & \text { b. } \operatorname{Cos} \theta \text { y } \operatorname{Csc} \theta \\ \text { c. } \operatorname{Sen} y \operatorname{Tan} \theta & \text { d. } \operatorname{Cos} \theta \text { y } \operatorname{Sec} \theta\end{array} \)

Generalize Given the expression \( x^{2}+b x \), describe how to find \( c \) so that \( x^{2}+b x+c \) is a perfect square trinomial.

Find the average rate of change of the given function on the interval [3, 7]. \[ g(x)=-4 x^{2}+3 x \] Enter your answer as a reduced improper fraction, if necessary. Provide your answer below: