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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ILL MARK BRAINLIEST IF YOU HELP ME PLSS

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Answer:

Angle 5 = 35 degrees

Step-by-step explanation:

A straight line is equal to 180 degrees, meaning 1 + 2 + 5 = 180 degrees because they make up a straight line.

Angle 2 = 55 degrees

Angle 1 = 90 degrees (because it is a right angle)

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Set up an equation:

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3 years ago

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aalyn [17]

Answer:

Step-by-step explanation:

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Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.

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Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.

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Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.

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3 years ago

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MissTica

Answer:

Step-by-step explanation:

The ratio is 1/2 so the next term would always be half of the previous one.

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