Answer:
(1,1), (-1,1)
Step-by-step explanation:
To reflect a point over the x-axis, simply make its x-value negative. So, we can take the sample point of (1,1), make its x-value negative, and get (-1,1).
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:
x <= - 4 2/3
Step-by-step explanation:
3(x-4) ≥ 6x+2
Distributive property
3x - 12 ≥ 6x+2
-12 ≥ 3x + 2
re-write
3x + 2 <= -12
3x <= -14
x <= -14/3
x <= - 4 2/3
Answer: The answer would be 5.2
Step-by-step explanation:
