Sin(A+B) = SinACosB + CosASinB
Cos(A+B) = CosACosB - SinASinB
Note pi is taken as pi radians = 180 degrees. Cospi = Cos180 = -1.
Sinpi = Sin 180 = 0
Cos(A+pi) = CosACospi - SinASinpi = (CosA) * (-1) - (SinA) *(0) = -CosA.
Sin(A+pi) = SinACospi + CosASinpi = (SinA)* (-1) + (CosA) * (0) = -SinA.
Cos(A+pi) - Sin(A+pi) = -CosA - -SinA = -CosA + SinA = SinA - CosA.
Answer = (a).
Answer:
(-4,1)
Step-by-step explanation:
The given parabola is

When we rewrite in vertex form, we get;

Or

When we compare to:

We have 4p=-4
This means p=-1
But the vertex is at:
(-4,2)
Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.
Hence the focus is (-4,1)
Answer:
200 N/m
Step-by-step explanation:
Rearranging the formula F = kx, you find that k = F/x. For the first spring,
F = 36 N and x = 0.06 m (6 cm). So the spring constant, F/x, is 36N/0.06m = 600 N/m
For the second spring, F = 36 N and x = 0.09 m. F/x = 36N/0.09m = 400 N/m
The difference between these values is 200 N/m, and that's the answer.
Answer:
I would be 3 packets of buns, 6 packets of patties, and 2 packets of cheese
Step-by-step explanation:
You want all the equal by looking for the the number the can used for all three items. The number 30 can be used.
It cant be a fraction because of the repeating... that is what my math teacher said