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2 years ago

6

Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an

d (6,7).

1 answer:

Vanyuwa [196]2 years ago

4 0

Answer:

hope you like my answer its-11

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Find gradient <br><br>xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for d<em>y</em>/d<em>x</em> :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If <em>y</em> ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

4 0

3 years ago

What is the patter between the following numbers 5, 11, 18, 26

grin007 [14]

Answer:

I jumps 1 every time

Step-by-step explanation: Say you start at 6 and you have to get to 8 you add 2 to get to 8 if you want to get to 11 you would add 3.

6 0

3 years ago

Tim looks up at the top of a tree at an angle of elevation of 40 degrees. If heis 5 ft tall and 10 ft from the tree, how tall is

dolphi86 [110]

<h2>Answer:</h2>

13.391 ft

<h2>Explanations:</h2>

The schematic diagram of the given question is shown below;

The height of the tree is expressed as:

H = h +5

Determine the value of h using the SOH CAH TOA identity

$\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan40^0=\frac{h}{10} \\ h=10tan40 \\ h=10(0.8391) \\ h=8.391ft \\ \end{gathered}$

Determine the height of the tree

$\begin{gathered} H=h+5 \\ H=8.391+5 \\ H=13.391ft \end{gathered}$

Hence the height of the tree is 13.391ft

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1 year ago

What is sine times secant

laiz [17]

Sin time secant = sin(x)*1/cos(x) = tan(x)!!

7 0

4 years ago

Find side AB<br> COM<br> 350

anzhelika [568]

Answer:

AB = 8.402

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask questions in the comments below ;)

And if you find this answer helpful, please consider marking it Brainliest

5 0

4 years ago