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borishaifa [10]

2 years ago

15

HELPPP!!! I WILL MARK BRAINLIEST!!!

1 answer:

max2010maxim [7]2 years ago

5 0

Answer:

um

Step-by-step explanation:

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Help asap, please!!..

Darya [45]

that alot of work no cap

7 0

3 years ago

56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

2 years ago

Name<br> Add and Subtract Integers<br> Solve.<br> 1.-2+9

Rudiy27

Answer would be 7 since 2 is a negative you would subtract it from 9

7 0

3 years ago

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Rosa can run 4 miles in 56 minutes.How many miles does rosa run if she runs 42 minutes?

Alex Ar [27]

Rosa runs 3 miles in 42 minutes.

I divided 42 by 56 to get the percentage that will be multiplied to 4 miles to get the number of miles Rosa runs in 42 minutes.

42 / 56 = 0.75 * 100% = 75%

75% * 4 miles = 3 miles.

3 miles within 42 minutes

6 0

3 years ago

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Cual es la temperatuta del jueves 9 de julio a las 10 hs en el calafate?<br>

Ray Of Light [21]

Answer:

the answer is easy.

Step-by-step explanation:

8 0

3 years ago