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2 years ago

Find the slope of a line perpendicular to y=⅖x+⅘

2 answers:

6 0

To find the slope perpendicular we will take our original slope (2/5) and find the reciprocal.
To do this, we will flip the slope (so we get 5/2) and make it negative so we get our final perpendicular slope of -5/2

zloy xaker [14]2 years ago

4 0

Answer:

-2.5

Step-by-step explanation:

The perpendicular slope will be the opposite reciprocal of the original slope.
So the slope of the perpendicular will be:

$\frac{-1}{0.4}$ = -2.5

If we were asked to give the equation of the perpendicular it would be:

-2.5x+ 4/5

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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

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3 years ago

Tina can grow 2 plants with every seed packet. How many seed packets does Tina need to

AlladinOne [14]

Answer:

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Step-by-step explanation:

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3 years ago

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Simplify (4x − 6) + (3x + 6). (1 point) 7x 7x − 12 x 7x + 12

bija089 [108]

Answer:

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Step-by-step explanation:

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3 years ago

Add.<br> 5x2 - 5x+1<br> + 2x2 +9x-6

kramer

Answer:

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Step-by-step explanation:

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2 years ago

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vlabodo [156]

The answer would be 0.5

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3 years ago

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Find the slope of a line perpendicular to y=⅖x+⅘​

Find the slope of a line perpendicular to y=⅖x+⅘