Triangle angles add to 180 degrees. Thus, x - 17, x - 22, and 3x + 19 add to 180.
Add like terms to get 5x - 20 = 180
5x = 200
x = 40
<h3>
Answer: D) 31</h3>
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Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.
The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.
The radius of the larger circle is 4, so area 16π
The shaded area is 16π - π
Answer: 15π
