is a slightly more compact way of saying 
. So
The angles of a triangle will always add up to be 180 degrees total.
x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12
Answer: x = -12
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer:
idk im dumb just like you dude
Step-by-step explanation:
Answer:
3. do rise over run to get 3/1 and that simplifies to 3!
Step-by-step explanation:
