Thinking Question 9. Amelia draws points A, B, C, D and E on a piece of paper. The lengths of segments AB, BC, CD are \( 4 \mathrm{~cm}, 3 \mathrm{~cm} \) and \( 7 \mathrm{~cm}- \) not necessarily in that order. The lengths of segments \( \mathrm{DE}, \mathrm{AD} \) and AE are \( 14 \mathrm{~cm}, 23 \mathrm{~cm} \) and 19 cm , also not necessarily in that order. What is the length of segment AD ? Show the ending diagram with all labelled lengths.

6. Which of the following are like term. \( \begin{array}{llll}\text { A. } 2 x \text { and } 2 y & \text { B. } x \text { and } 3 x & \text { C. }^{2} \text { and } x & \text { D. } V \text { and }\end{array} \)

Use polynomial long division to rewrite the following fraction in the form \( q(x)+\frac{r(x)}{d(x)} \), where \( d(x) \) is the denominator of the original fraction, \( q(x) \) is the quotient, and \( r(x) \) is the remainder. \[ \frac{3 x^{5}+x^{4}-19 x^{3}-5 x^{2}+20 x}{x^{3}-5 x} \]

\begin{tabular}{|l|l} In the opposite figure: \\ ABC is a triangle, \\ \( \mathrm{AB}>\mathrm{AC}, \overline{\mathrm{XY}} / / \overline{\mathrm{BC}} \) \\ Prove that: \( \mathrm{m}(\angle \mathrm{AYX})>\mathrm{m}(\angle \mathrm{AXY}) \)\end{tabular}

Part C How many hours will Ryan need to work to earn enough money to buy the smart phone? Use partial quotients to divide.

Sketch the graph of the given parabola by using only the vertex and the \( y \)-intercept. \( y=x^{2}+2 x-3 \)