Answer:
The integers are 52 and 54
Step-by-step explanation:
x = first even integer
x + 2 = next integer that is even
x + x + 2 = 106
2x + 2 = 106
2x = 104
x = 52
x + 2 = 54
Interior angles of a triangle should always add up to 180.
180-154=26
26-13=13
X=13
Okay so first off the equation of a line is
Y=mx+b
m= the slope
b= the y intercept
The Y intercept of this line is 2 and the slope is 5/3! You know this is the slope because if you start at point a and go up 5 and to the right 3, you end up at point b.
The equation for this line would be y=5/3x+2
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.
The answer is d because all the other options are less than 34
