Choose the best selection for the quadrilateral with vertices at the following points: \( (0,0),(3,2),(6,0),(3,-2) \) Hint: Start by graphing the points. Distance Formula: \( d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \) \( \begin{array}{ll}\text { A. Rhombus } & \text { B. Rectangle } \\ \text { C. Trapezoid } & \text { D. Square }\end{array} \)

b. Para hallar la altura de un globo, se realizaron las mediciones indicadas en la figura. ¿Cuánto dista el slobo del punto \( A \) ? ¿Cuánto del punto \( B \) ? ¿A que altura está el globo?

1. \( x^{2}+y^{2}+14 x-8 y+56=0 \) 2. \( 9 x^{2}+9 y^{2}-6 x-36 y-107=0 \) 3. \( x^{2}+y^{2}+8 x+20=0 \) 4. \( x^{2}+y^{2}+2 x-2 y+11=0 \) 5. \( x^{2}+y^{2}-8 y=0 \) B. Write the center-adius form of each circle. 6. center at origin, radius 6 7. center at \( (6,1) \), redius 7 8. center at \( (-2,0) \), diameter 16 9. center at \( (3,1) \), diameter 8 10. center at arigin, radius 8 C. Write the general form of the following. 11. \( x^{2}+(y-7)^{2}=9 \) 12. \( (x-3)^{2}+(y-3)^{2}=16 \) 13. \( (x+1)^{2}+(y-4)^{2}=25 \)

C. Write the genersal form of the following. \[ \begin{array}{l}\text { 11. } x^{2}+(y-7)^{2}=9 \\ 12 .(x-3)^{2}+(y-3)^{2}=16 \\ 13(x+1)^{2}+(y-4)^{2}=25\end{array} \]

El volumen del paralelepipedo formdo por los vectores \( \vec{u}=(-5,-6,-2), \vec{v}=(2,-3,4) \) y \( \vec{w}=(4,-3,1) \) corresponde a:

A 7 A regular hexagon and a regular pentagon have a common edge. Work out the value of \( a \).