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Goryan [66]
3 years ago
12

What is the slope of the line that passes through the points (2, 3) and (8, 6)?

Mathematics
2 answers:
Olin [163]3 years ago
5 0

\huge\textsf{Hey there!}

\mathsf{Formula:m =  \dfrac{y_2 - y_1}{x_2-x_1}}

\bullet\textsf{ Whereas, }\mathsf{y_2}\textsf{ is equal to 6 \&  }\mathsf{ y_1}\textsf{ is equal to 3. As well as, }\mathsf{x_2}\textsf{ is equal to 8 \& }\mathsf{x_1}\textsf{ is equal }\\\textsf{to 2}

\mathsf{Equation: \dfrac{6-3}{8-2}}\\\\\\\mathsf{6-3=\boxed{\large\textsf{\bf 3}}}\\\mathsf{8-2=\boxed{\large\textsf{\bf 6}}}\\\\\\\mathsf{= \dfrac{3}{6}}\\\\\\\mathsf{\dfrac{3\div3}{6\div3}=\boxed{\mathsf{\bf \dfrac{1}{2}}}}\\\\\\\\\\\mathsf{m = \boxed{\mathsf{\bf \dfrac{1}{2}}}}\large\checkmark

\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{2}}}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

vichka [17]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

We have two points, we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(8-2)

   = 3/6

   = 1/2

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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
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Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

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Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

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Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

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For x-intercept, y=0

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e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

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