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V125BC [204]
3 years ago
12

Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}

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Read 2 more answers
In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC
AlexFokin [52]

Answer:

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Step-by-step explanation:

angle ABC is 118°

so

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m° = 62°

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3 years ago
Which is a solution to x + 3 = 2x - 8?
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Answer:

11

Step-by-step explanation:

See Work Below

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

3 0
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