2 years ago

Which choice is equivalent to the quotient below?

1 answer:

5 0

The answer is B. 1/3

√5/√45 <— simply both terms by 5

= √1/√9 <— √5÷5 = 1 and √45 ÷ 5 = √9

= 1/√9

= 1/3

√1 = 1
(you can write 1 directly instead of √1)

√9 = 3

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$\\ \tt{:}\leadsto \frac{2 - 3x}{4 - 8} = \frac{3x}{4} \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\ \tt{:}\leadsto 8 - 2x = - 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{:}\leadsto 8 = - 12x + 2x \\ \\ \tt{:}\leadsto 8 = - 10x \\ \\ \tt{:}\leadsto x = \frac{ - 10}{8} \\ \\ \tt{:}\leadsto x = \frac{ - 5}{4}$