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Nutka1998 [239]
3 years ago
14

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

(y - 0) =  \frac{1}{3} (x - 0)

y =  \frac{1}{3} x

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Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of
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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

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Spenn = Steller

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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.

4 0
4 years ago
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