-1/3+(-7/4) in simplist form

Mathematics

2 answers:

Airida [17]2 years ago

8 0

Answer:

your answer will be $-\frac{25}{12}$

Step-by-step explanation:

hope this helps have a nice day :)

Novosadov [1.4K]2 years ago

3 0

$-\dfrac 13 + \left( -\dfrac 74\right)\\\\\\=-\dfrac 13 - \dfrac 74\\\\\\=-\dfrac{4}{12}-\dfrac {21}{12}\\\\\\=-\left( \dfrac 4{12} + \dfrac{21}{12} \right)\\\\\\=-\left( \dfrac{4+21}{12}\right)\\\\\\=-\dfrac{25}{12}$

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kodGreya [7K]

Answer:

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Step-by-step explanation:

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2 years ago

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Lilit [14]

Check the picture below.

$\bf (\stackrel{a}{1}~,~\stackrel{b}{-1})\qquad \impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{1^2+(-1)^2}\implies c=\sqrt{2} \\\\[-0.35em] ~\dotfill$

$\bf sin(\theta ) \implies \cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{-1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies -\cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies -\cfrac{\sqrt{2}}{2}$

$\bf cos(\theta ) \implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies \cfrac{\sqrt{2}}{2} \\\\\\ tan(\theta ) = \cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{1}}\implies tan(\theta ) = -1$