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4 years ago

If 6m + 4 = 8m, then 4m

Mathematics

2 answers:

Alex17521 [72]4 years ago

8 0

$6m + 4 = 8m$
$4 = 2m$
$2 = m$

$4m$
$4(2)$
$8$

$4m = 8$

prohojiy [21]4 years ago

7 0

6m + 4 = 8m

Subtract 6m from each side:

4 = 2m

Multiply each side by 2 :

<u>8 = 4m</u>

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$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}$

$\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
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\\\\\\
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$\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
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