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11111nata11111 [884]
3 years ago
9

Does anyone know these?

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

1 = - 4 - 14 √3

2 = 9 - 11 √3

Step-by-step explanation:

Question 1

(-4√3 + 2)(√3 + 4)

Apply FOIL method

= (-4√3) √3 + (-4√3) . 4 + 2 √3 + 2 . 4

Apply minus-plus rules: + (-a) = -a

= -4 √3 √3 - 4 . 4 √3 + 2 √3 + 2 . 4

Simplify

= - 4 - 14 √3

Question 2

(-3 + √3)(1 + 4 √3)

Apply FOIL method

= (-3) . 1 + (-3) . 4 √3 + √3 . 1 + √3 . 4 √3

Apply minus-plus rules: + (-a) = -a

= -3 . 1 - 3 . 4 √3 + 1 . √3 + 4 √3 √3

Simplify

= 9 - 11 √3

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By what percent will a fraction increase if its numerator is decreased by 30%
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Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

\implies \dfrac{x}{y}

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

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1.4 as a percentage = 1.4 x 100 = 140%

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2 years ago
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3 years ago
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3 years ago
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Direct variation: y = kx
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3 years ago
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