Answer:
Step-by-step explanation:
4/9-1/6=5/18
She gets to the library at 5:30. Half an hour is equal to 30 minutes, and if she leaves at 5:00, she will be there in thirty minutes.
2x+5x+5=180 so x has to be 25
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
is conservative if we can find a scalar function 
such that 
. This would require
Integrating both sides of the first equation wrt 
gives
Differentiating both sides of this wrt 
gives
but we assumed 
was a function of and 
, independent of . So there is no such and 
is not conservative.
To find the work, first parameterize the path (call it 
) by
for 
. Then
and the work is given by the line integral,
