Answer: 503
Step-by-step explanation:
Penn: n = 2013
a₁ = x
r = rp
Teller n = 2013
a₁ = -x
r = rt
Sum of terms arithmetic sequence: S = (a₁ + aₙ)n/2
Spenn = (x + a₂₀₁₃).2013/2
Steller = (-x + a₂₀₁₃).2013/2
Spenn = Steller
(x + ap₂₀₁₃).2013/2 = (-x + at₂₀₁₃).2013/2
2x = at₂₀₁₃ - ap₂₀₁₃
General term of arithmetic sequence: aₙ = a₁ + (n-1)r
ap₂₀₁₃ = x + (2013-1)rp = x + 2012rp
at₂₀₁₃ = -x + (2013-1)rt = -x + 2012rt
2x = at₂₀₁₃ - ap₂₀₁₃
2x = -x + 2012rt - (x + 2012rp)
2x = -x + 2012rt - x - 2012rp
2x = -2x + 2012rt - 2012rp
4x = 2012rt - 2012rp
4x = 2012(rt-rp)
x = 2012(rt-rp)/4
x = 503(rt-rp)
As rt - rp cannot be 0, and we know that x is positive, the smallest number for (rt-rp) is 1, so the smallest number for x is 503.
15x^2 + 12x +10x + 8= 0 reduced 15x^2 +22x+ 8 = 0
<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>
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<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>
<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>
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If we want to write the function in vertex form:
f ( x) = 6 x² + 5 - 42 x = 6 x² - 42 x + 5 = 6 ( x² - 7 x ) + 5 ...
First step is: C ) write the function in standard form ( y = ax² + b x + c )
