Answer:
As θ increases, the value of cos θ decreases
Step-by-step explanation:
As as θ increases, the value of cos θ decreases from 1 to -1 in the first two quadrants ( between 0 and 180 degrees). Cos(0) = 1, cos(90) = 0, cos(180) = -1.
On the other hand, as θ increases from 180 to 360 degrees (last two quadrants) the value of cos θ increases from -1 to 1.
Check the attachment below:
3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
-3
Step-by-step explanation:
Convert every fraction to an improper fraction just to make it easier.
43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)
Distribute.
= 43/10 -12/5x - 11/2 = -18/10x + 6/10
Simplify using the common denominator, which is 10.
43/10 - 24/10x - 55/10 = -18/10 + 6/10
Isolate the x.
-24/10x + 18/10 = -43/10 + 55/10 + 6/10
Simplify.
-6/10x = 18/10
Multiply by the reciprocal (basically dividing fractions)
18/10 x -10/6
= -3
Answer:
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a). ... It should be noted that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x Step-by-step explanation: