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 + 3Â 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.

Q: Solve the system +2₂ +5x3 11 4x₁ +5x₂ +213 = 5

A: Solution of given question is written in below steps.

Q: Solve: 2(4 - x) = x² (x +5) Show/explain your work. You may upload a jpeg or png file using the a…

A:

Q: Find the equation passing through two point (3,4), (-2, 1)

A:

Q: The points (x, -5) and (2, y) are on the line containing the points (-14, 7) and (10, 1). What is…

A: equation of line containing two points (x1,x2) and (y1,y2) is y-y1=y2-y1x2-x1x-x1

Q: The hang time of a football field that is kicked on the opening kickoff is given by s=-16t^2+88t+1…

A: it is asking the time when the ball hits the ground, which means s= 0.   , and solve for t

Q: The image of the point (8, 6)(8,6) under a translation is (13, 1)(13,1). Find the coordinates of the…

A: It is given that ; The image of a point  (8, 6) under a translation is  (13, 1). We have to find,…

Q: Simplify  2(8y-2-(2y+5)= 7-8[9-(5y-8)]

A: Given problems:- 28y-2-2y+5 7-89-5y-8

Q: line a and line b are perpendicular and intersect at the point (-100,100). If (-95,115) is a point…

A:

Q: Write an equation of the line that passes through (0, 8)(0, 8) and (6, 8)(6, 8).

A: Given points are: (0,8) and (6,8)