How many paths are there from the point (0, 0) to the point (4, 5) in the plane such that each step either consists of going one unit up or one unit to the right? How many paths are there from (0, 0) to (10, 11), where each step consists of going one unit up or one unit to the right, and the path has to go through the point (4, 5)?

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: The plane through the points (-1,-2,-2), (-5,-3,2), (-5,2,7) has equation Ax + By + Cz = D. If A = -…

A: A = -25 B = 20 C = -20 D= 25  For detail....go through the solution.... You can solve this problem…

Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

A:

Q: What is the equation of the plane through the point (4, -2, 3) and parallel to the plane 3x - 7z =…

A: