Answer:34.93
Step-by-step explanation:
Using a^2+b^2=c^2we can substitute a and b in which is 34^2+8^2=c^21156+64=c^21220 = c^2Now we need to square both sides√1220 = √c^234.9284983931 ----> 34.9334.93 = cc = 34.93
Green's theorem says the circulation of
along the rectangle's border
is equal to the integral of the curl of
over the rectangle's interior
.
Given
, its curl is the determinant

So we have

Answer:
K (0,1)
L (-1,4)
M (-4,1)
N (-3,-2)
Step-by-step explanation:
When you rotate a figure 90 degrees counterclockwise about the origin, the points all change from (x,y) to (-y,x). Therefore the points would go from: (answers on right side)
K (1,0) ---> K (0,1)
L (4,1) ---> L (-1,4)
M (1,4) ---> M (-4,1)
N (-2,3) ---> N (-3,-2)