The coordinates of triangle ABC are \( \mathrm{A}\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), \mathrm{B}\left(-4 \frac{1}{2},-1\right) \), and \( \mathrm{C}(6,-1) \). a. What is the distance between points A and B ? b. Give the coordinates for two points that are 4 units from point C . a. Points A and B are \( \square \) units apart. (Type an integer, fraction, or mixed number.)

The volume of a cylinder with height \( h \) and radius \( r \) can be found using the formula \( V=\pi r^{2} h \). Sketch a cylinder with radius 9 feet and height 10 feet, then find the volume and select the correct units. Round your answer to the the nearest tenth. Volume \( =\square \)

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. \( (x+1)^{2}+(y-4)^{2}=25 \)

La distancia desde el punto \( Q(3,-1,4) \) a la linea dada por \( x=-2+3 t, y=-2 t y z=1+4 \) tes: 2.4495 2.2014 5.0200 - 5.3104

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

1. Realizar los sleulentes problemas an barco \( B \) pide socorro y se reciben las sus señales en dos estaciones de radio, \( A \) y \( C \), que distan entre si 50 km . Desde las estaciones se miden los siguientes ángulos, \( B A C=46^{\circ} \) y \( B C A=53^{\circ} \) ¿A que distancia de cada estación se encuentra el barcu.