Answer:
y = -1/2x + 3.5
Step-by-step explanation:
The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2
y = -1/2x + c
Now we can substitute x = 1 and y = 3 into the equation:
- 3 = -1/2(1) + c
- 3 = -1/2 + c
- c = 3 + 1/2
- c = 3 1/2 or 3.5 or 7/2
The equation of the line is y = -1/2x + 3.5
Hope this helps!
Answer:
0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875
So the fraction is reduced by 12.5%
Size got it right because it’s multiplied by 100
Answer:
(-4,3)
Step-by-step explanation:
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,
