Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54 C(5, 3, 6), a -4 C(5, 3, 6), a- 16 O (-5, 3, -6), a- 16 C(-5, -3, -6), a-4

A cellular phone network uses towers to transmicalls. If the equation of the circular area transmits by the tower is represented by (-5)^2 + (-1)^2 = 22 can you identify if you are inside or outside of the circular area, if your coordinate location is (6,0)? How about if your location is (8,2)?

Which set of coordinates follows these two rules? • X-coordinate: Start with 4 and add 4 to each term. • y-coordinate: Start with 4 and multiply each term by 2. @ (4, 4), (8, 8), (12, 16) ® (4, 4), (8, 8), (16, 16) ©(4, 4), (6, 16), (8, 64) O (4, 4), (8, 6), (12, 8)

A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287, 106) and is constructed in a straight line in the direction 2î - 8j+ 3 k whilst the other end of tunnel starts at the point B (-395,263, -89) and is constructed in a straight line in the direction 9i - 6j +2k. The starting points and the direction vectors of both ends of the tunnel are measured in metres. Verify that the tunnels being constructed from both ends meets by first finding the equations of both tunnels and then finding their intersection point P.

How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A map is placed on a coordinate grid. On the map, city 1 is located at the point (35, 78), and city 2 is located at the point (47, 122). what are the coordinates of a city located halfway between city 1 and city 2? A (82, 200)  B (41,100) C (12,44) D (6,22)

Which set of coordinates, when paired with (3,-3) and (10, -3), result in a square? (-3, -3) and (-10, -3) (3, 10) and (10, 3) (-3, 4) and (-10 , 4) (3,4) and (10, 4) Back Next 0000

The vertices of a triangle are A(-2, 0), B(0, 3), C(2, 2). Translate the triangle 4 units down. What are the coordinates of the image? Enter the coordinates in order of A( , ),B( , ),C( , ). No space in between coordinates and numbers. *

Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your answer two different ways.