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Irina18 [472]
3 years ago
8

What is the complete factorization of r2 - 6r - 9s2 + 9? A) (r - 3 + 3s)(r - 3 - 3s) B) (r + 3 + 3s)(r - 3 - 3s) C) (r - 3 + 3s)

(r - 3 + 3s)
Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0
r^2-6r-9s^2+9=r^2-6r+9-9s^2=r^2-2\cdot r\cdot3+3^2-9s^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(r-3)^2-9s^2=(r-3)^2-(3s)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(r-3-3s)(r-3+3s)\to A
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Answer:

Using the Sine Rule , which states that

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72°+85°+∠C=180°

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Using the table of Sine, Calculating Sine Values

Sin 72°= 0.9510

Sin 85°=0.996

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\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833

Among the five Options,

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guajiro [1.7K]

Answer:

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