The vertices of \( \triangle A B C \) are \( A(3,-1), B(-2,-5) \), and \( C(3,4) \). For the translation below, give the vertices of \( \triangle A^{\prime} B^{\prime} C^{\prime} \). \( T_{\langle-5,2\rangle}(\triangle A B C) \) The vertices of \( \triangle A^{\prime} B^{\prime} C^{\prime} \) are \( A^{\prime} \square, B^{\prime} \square \), and \( C^{\prime} \square \). (Simplify your answers. Type ordered pairs.)

12. Mike used a coordinate plane to design the patio shown at the right. Each unit on the grid represents 1 yard. To buy materials to build the patio, Mike needs to know its perimeter. What the perimeter of the patio?

4. Identify each of the following as an ellipse, circle, or hyperbola. Show how you determined it. a) \( x^{2}-2 x-4 y^{2}-16 y=19 \) answer: b) \( 2 y^{2}-6 y+2 x^{2}+36 x-45=0 \) answer: c) \( x^{2}+9 y^{2}+36 y-45=0 \) answer:

6. Jennifer wants to plant a flower garden in the space shown. She wants to add a fountain that is 3 feet wide and 3 feet long. What is the area of the space left to plant flowers?

23 -) Determine o valor de \( x \) dos Triangulos

Con una escalera de \( z=36 u \) se desea subir al extremo de una barda de \( x=18 u \) de altura. ¿A qué distancia se necesita colocar la base de la escalera para que el otro extemo coincida con la punta de la torre?