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2 years ago

Solve for x. 3(x - 4) = 2x + 6 Α. Ο B. 2 C. 3.6 D. 10 E. 18

Mathematics

2 answers:

Zigmanuir [339]2 years ago

8 0

E. X=18 you can also just use Photomath or something if you need more help :)

LekaFEV [45]2 years ago

4 0

3(x - 4) = 3x - 12 (expand the brackets)
3x - 12 = 2x + 6
3x = 2x + 6 + 12 (put all of the integers on one side)
3x = 2x + 18 (simplify - collect like terms)
3x - 2x = 18 (put all of the unknowns on one side)
x = 18 (simplify - collect like terms)

Therefore, we know that x is equal to 18, and so the answer is E.

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Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

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$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

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