Answer:
-3/4
Step-by-step explanation:
Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.
Answer:
Step-by-step explanation:
Considering the geometric sequence


As the common ratio '
' between consecutive terms is constant.



The general term of a geometric sequence is given by the formula:

where
is the initial term and
the common ratio.
Putting
,
and
in the general term of a geometric sequence to determine the 12th term of the sequence.







∵ 

Therefore,
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be

.
You're minimizing

subject to the constraint

. Note that

and

attain their extrema at the same values of

, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is

Take your partial derivatives and set them equal to 0:

Adding the first three equations together yields

and plugging this into the first three equations, you find a critical point at

.
The squared distance is then

, which means the shortest distance must be

.
Answer:
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
7 - 3 - 5 - 10
4 - 5 - 10
- 1 - 10
-11