multiply the equation by 3
3f(x) = x - 6
x = 3f(x) + 6
x = 3(f(x) + 2)
the answer is A.
The volume of the cylinder is 31.4 in³.
The volume can be calculated with the following formula:
V=r²h
V=×1² in×10 in
V=×10 in²
V≈31.4 in³
To solve an absolute inequality first step is to isolate absolute value expression.
Hence remove -4 from the left side. So, add 4 to each sides of the inequality.
2|x + 7|−4 ≥ 0
2|x + 7|−4 +4≥ 0 +4
2|x + 7| ≥ 4 Combine the like terms.
Divide each sides by 2.
|x + 7| ≥2
Next step is to remove the absolute value sign. So,
x + 7≥2 and x+7≤-2.
x≥2-7 and x≤-2-7
x≥-5 and x≤-9
So, the correct choice is C. {x | x ≤ -9 or x ≥ -5}.
Cotangent of ∠l = adjacent side / opposite side
cotangent of ∠l = - 15/8
Correct option D