3 years ago

WILL MAKE BRAINLIEST write the slope intercept form of the equation of each line

Mathematics

1 answer:

vovikov84 [41]3 years ago

4 0

C and d would be the answers

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I can't figure this out :( Help!!!<br><img src="https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B2%7D%20w%20%2B%208%20%3D%203%20%5Cf

Naya [18.7K]

let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{7}{2}w+8=\cfrac{13}{4}w+10\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4\left( \cfrac{7}{2}w+8 \right)=4\left( \cfrac{13}{4}w+10 \right)}
\\\\\\
14w+32=13w+40\implies w=40-32\implies \boxed{w=8}$