Which line has the same slope as the line passing through (-4,-1) and (-1,8)?

Mathematics

1 answer:

kirill115 [55]2 years ago

4 0

Answer:

Step-by-step explanation:

The formula for slope is

y2-y1/x2-x1

In (-4,-1) -4 is x1 and -1 is y1

In (-1,8)?-1 is x2 and 8 is y2

8+1/-1+4

Which is 9/3

This can be simplified into 3

Thus the slope is 3

Hope this helps!

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Check the picture below.

a)

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let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.

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$\bf \begin{array}{cllll}
\textit{circumference of a circle}\\\\ 
2\pi r
\end{array}\qquad \qquad \qquad \qquad 
\begin{array}{cllll}
\textit{arc's length}\\\\
s=\cfrac{\theta r\pi }{180}
\end{array}\\\\
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$\bf \stackrel{\stackrel{green~circle}{perimeter}}{2\pi(7.5) }~-~\stackrel{\stackrel{green~circle}{arc}}{\cfrac{(135)(7.5)\pi }{180}}~+
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\textit{area of a circle}\\\\ 
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\end{array}\\\\
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$\bf \stackrel{\stackrel{red~section}{area}}{\pi(9.5^2) }~-~\stackrel{\stackrel{red~section}{sector}}{\cfrac{(135)(9.5^2)\pi }{360}}-\stackrel{\stackrel{green~circle}{sector}}{\cfrac{(225)(7.5^2)\pi }{360}}
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Step-by-step explanation:

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