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MrRa [10]
2 years ago
8

Which equation is true? 9x2 – 25 = (3x – 5)(3x – 5) 9x2 – 25 = (3x – 5)(3x 5) 9x2 – 25 = –(3x 5)(3x 5) 9x2 – 25 = –(3x 5)(3x – 5

).
Mathematics
1 answer:
dalvyx [7]2 years ago
5 0

Answer:

9x² - 25 = (3x - 5)(3x + 5)

Step-by-step explanation:

(a + b)(a - b) = a² - ab + ab - b² = a² - b²

a² - b² = (a + b)(a - b)

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Answer:

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

Step-by-step explanation:

\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}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

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The correct option among all the options that are given in the question is the last option or the fourth option. I hope that this is the answer that you were looking for and the answer has come to your desired help.
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4 years ago
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4 years ago
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Step-by-step explanation:

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3 years ago
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