(3x-4)∧2=8 how do i solve this

1 answer:

Ber [7]2 years ago

7 0

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(3x-4)^2=8\iff3x-4=\pm\sqrt8\\\\3x-4=-\sqrt{4\times2}\ or\ 3x-4=\sqrt{4\times2}\\\\3x-4=-2\sqrt2\ or\ 3x-4=2\sqrt2\ \ \ \ \ \ \ |add\ 4\ to\ both\ sides\\\\3x=4-2\sqrt2\ or\ 3x=4+2\sqrt2\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\frac{4-2\sqrt2}{3}\ or\ x=\frac{4+2\sqrt2}{3}}$

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I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

KATRIN_1 [288]

Answer:

The circumference of the yellow circle is $9\pi$ or $28.27cm^2$ approximately, the circumference of the blue circle is $6\pi$ or $18.85m^2$ approximately, the circumference of the green circle is $80\pi$ or $251.33mm^2$ approximately, the circumference of the red circle is $5\pi$ or $15.71cm^2$ approximately, and the circumference of the pink circle is $7\pi$ or $21.99cm^2$ approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by $\pi$ . In this case, the circumferences of the yellow circle are $9\pi$ or approximately $28.27cm^2$ , the circumference of the blue circle is $6\pi$ or approximately $18.85m^2$ , the circumference of the green circle is $80\pi$ or approximately $251.33mm^2$ , the circumference of the red circle is $5\pi$ or approximately $15.71cm^2$ , and the circumference of the pink circle is $7\pi$ or approximately $21.99cm^2$ .