2 years ago

Write the next three terms in the pattern. What is each pattern rule?

Mathematics

1 answer:

Lelechka [254]2 years ago

5 0

-70, -100, +20

Step by step explanation: Follow the pattern.

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Geometry help please :)

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The angles of a triangle are right angles

90 = 1/3x + 8

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246 = x

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2 years ago

If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

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2 years ago

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A notebook cost $1.50 and a binder cost $6.50 jesica bought x notebooks and y binders

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1.50x + 6.50y is your algebraic expression.

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2 years ago

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GalinKa [24]

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Step-by-step explanation:

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Hitman42 [59]

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Every time the number is divided by 2 like 8 divided by 2 is 4 and 4 divided by 2 is 2 and so on so if you divide 1/4 by 2 it would be 0.125 and that in fraction would be 1/8.

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