C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.
6x + 5x + (x + 16) + (3x - 1) = 360
11x + x + 16 + 3x - 1
15x + 15 = 360
15x = 345
x = 23
6(23) = 138
((23) + 16) = 39
(3(23) - 1) =68
5(23) = 115
138 + 39 + 68 + 115 = 360
Answer:
C
Step-by-step explanation:
Formula for potential energy is PE = m*g*h
where
m is the mass, in kg
g is the acceleration due to gravity, in meters per second squared, and
h is the height, in meters
The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:

Correct answer is C.
Answer:

Step-by-step explanation:
From the differential equation given:

The equation above can be re-written as:


Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.
Then;
M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

relating with equation M(x,y)dx + N(x,y) dy = 0
Then;

So;


Let's Integrate
with respect to x
Then;


Now, we will have to differentiate the above equation with respect to y and set
; we have:

Hence, 
Finally; the general solution to the equation is:
