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LenKa [72]
3 years ago
14

Please answer these 2 questions please!

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

The 4th answer, at the bottom.

Step-by-step explanation:

The first answer is proportional, because y is equivalent to .5x.

The second answer is also proportional, because the ratios are equivalent.

The third answer is also proportional, because the line goes through the origin.

The fourth answer isn't proportional, because the ratios aren't equivalent.

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\large\boxed{\dfrac{\boxed{8}}{81}}

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\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

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