So,first step is to write ![(fog)(-4)) =f[g(-4)] \\](https://tex.z-dn.net/?f=%20%28fog%29%28-4%29%29%20%3Df%5Bg%28-4%29%5D%20%5C%5C%20)
Now we start from inner paranthesis
,we need to first find value of
![g(-4) =\frac{\sqrt{12-(-4)}}{3}\\ =\frac{\sqrt{12+4}}{3}\\ =\frac{\sqrt{16}}{3}\\ =\frac{4}{3}\\ (fog)(-4)) =f[g(-4)] =f(\frac{4}{3}) =9(4/3)^{2} =9*(16/9) =144/9 =16](https://tex.z-dn.net/?f=%20g%28-4%29%20%3D%5Cfrac%7B%5Csqrt%7B12-%28-4%29%7D%7D%7B3%7D%5C%5C%20%3D%5Cfrac%7B%5Csqrt%7B12%2B4%7D%7D%7B3%7D%5C%5C%0A%3D%5Cfrac%7B%5Csqrt%7B16%7D%7D%7B3%7D%5C%5C%0A%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%0A%28fog%29%28-4%29%29%20%3Df%5Bg%28-4%29%5D%20%3Df%28%5Cfrac%7B4%7D%7B3%7D%29%20%3D9%284%2F3%29%5E%7B2%7D%20%3D9%2A%2816%2F9%29%20%3D144%2F9%20%3D16%20)
Area of circle = pi (d/2)^2
area of semi-circle =0.5* pi (d/2)^2
=0.5* pi (6/2)^2
=14.14
Answer:
1024.
Step-by-step explanation:
4^5=4x4x4x4x4=1024.
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case here : 1/5
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case that means y increases by 1 for every increase of x by 5.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
so, here the perpendicular slope is : -5/1 = -5
the line function looks therefore like
y = -5x + b
b is the y-intercept, and we get it by using the coordinates of the point for x and y :
-8 = -5×0 + b = b
so, the full line function is
y = -5x - 8
Answer:
Step-by-step explanation:
Given
--- heaviest
--- second heaviest
Required
The difference (d)
This is calculated as:
