Y2-y1
--------
x2-x1
-8-6
---------
5-9
-14
-----
-4
= 14/4
= 7/2
We're looking for a scalar function
such that
. That is,


Integrate the first equation with respect to
:

Differentiate with respect to
:

Integrate with respect to
:

So
is indeed conservative with the scalar potential function

where
is an arbitrary constant.
When i babysit, i get 4 dollars for showing up, and them 2 dollars for every hour that im there. X=hours
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9