1) 3x=(4x+50-30)/2
x=10
Explanation: (1/2)(big arc - small arc), plug in the numbers and solve
2) 15•x=33•10
x=22
Explanation: a•b=c•d, plug in the numbers and solve
3) (x+8)•8=(24+4)•4
x=6
Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve
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Answer:
x = 2
Step-by-step explanation:
The line goes straight through the x axis
1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:
2) Note that we had to add 1 to both sides, to keep the "y "on the left.
3) Therefore, y=-9x+10 is the answer.
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).
