Answer:
D. 8ab+12a-2b-3
Step-by-step explanation:
You are basically combining like terms
It will help you!
=-17/40+-3/8+5/4
= -4/5+5/4
= 9/20
And the answer is 9/20 or decimals (0.45)
Answer:
Step-by-step explanation:
the height is 80 m
hope that helps
Answer: 2160°
Step-by-step explanation:
The sum of angles in a polygon is represented by the formula:
Sum = (n - 2) x 180° where n is the number of sides in the polygon
In this case, the complex polygon has 14 sides (n = 14)
So, (14 - 2) x 180°
= 12 x 180°
= 2160°
Thus, the sum of interior angles of a convex 14-gon is 2160°
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.