The vertices of a triangle are \( P(1,2), Q(-1,6) \), and \( R(3,4) \). Dilate the triangle with respect to the origin using a scale factor of 2 , and then translate 4 units right and 3 units down. What are the coordinates of the image? Explain.

\begin{tabular}{|l|l|} E) No se puede determinar el valor \\ \hline ¿Cuál de las siguientes expresiones es equivalente a \( (m+n)^{2}-4 m n ? \) \\ A) \( (m-n)^{2} \) \\ B) \( m^{2}-2+n^{2} \) \\ \( m^{2}-4 m n+n^{2} \) \\ des \\ \( 2 m-4 m n+2 n \) \\ e) \( 2 m-2 m n+2 n \)\end{tabular}

e) Jack wants to buy a coat that costs \( \$ 325 \). The tax for the jacket is \( 12.1 \% \% \) What is the total cost? \( T=100 \%+12.1 \%=1,121 \) \( T=325 \times 1.121=363.325 \) The total cost is 363.325 f) How much more did Jack pay when tax was included?

b. \( \operatorname{Los} \frac{5}{13} \) de una cantidad son 85. ¿Cuánto valen los \( \frac{4}{17} \) de esa cantidad?

a. \( 6 . x+30-5 x=-60 \)

Simplify \( \frac{1}{3 \sqrt{2}-2 \sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}} \)