Answer:
78.4
Step-by-step explanation:
0.6666 (repeating) x 0.75 = 0.5
0.6666 (repeating) / 0.75 = 0.8888888 (repeating)
(5,7),(2,1)
slope = (1 - 7) / (2 - 5) = -6/-3 = 2 <==
Answer:
Step-by-step explanation:
the answer to this problem is 14
The distance between a point

on the given plane and the point (0, 2, 4) is

but since

and

share critical points, we can instead consider the problem of optimizing

subject to

.
The Lagrangian is

with partial derivatives (set equal to 0)




Solve for

:


which gives the critical point

We can confirm that this is a minimum by checking the Hessian matrix of

:


is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of