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leonid [27]
4 years ago
9

Can anyone answer these questions

Mathematics
1 answer:
SOVA2 [1]4 years ago
3 0

Answer:

see explanation

see explanationStep-by-step explanation:

21

Note that

(a - \frac{1}{a})²

= a² - 2 + \frac{1}{a^2}

= a² + \frac{1}{a^2} - 2

= 11 - 2

= 9

Thus

(a - \frac{1}{a})² = 9 ( take the square root of both sides )

a - \frac{1}{a} = 3

22

Since the expression is a perfect square, then

(4x + 5y)²

= 16x² + 40xy + 25y²

Comparing coefficients, then

a - 1 = 40 ( add 1 to both sides )

a = 41

23

99² - 87² ← is a difference of squares and factors as

= (99 - 87)(99 + 87)

= 12 × 186 = 1152, thus

24a = 1152 ( divide both sides by 24 )

a = 48

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I don’t know how to identify this
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Answer:

x = -1/8 x    (Option D)

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