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krek1111 [17]
3 years ago
5

Pleassee show your work

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

Step-by-step explanation:

The slope intercept form of a line is y=mx+b where m=slope and b=y intercept. So we should solve for y.

3x/5+25y=10, multiply all terms by 5 and the denominator cancels out

3x+125y=50, subtract 3x from each side

125y=-3x+50, divide both sides by 125

y=(-3+50)/125

slope=m=-3/125

y intercept=b=2/5

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\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}

\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}

\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}

\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}

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