I need to find the missing length indicated

Mathematics

1 answer:

Naddika [18.5K]3 years ago

8 0

Answer:

10 units.

Step-by-step explanation:

By the Angle Bisector of a Triangle theorem:

? / 15 = 4 (10-4)

? / 15 = 4/6

? / 15 = 2/3

? = 15*2 / 3 = 10 (answer).

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postnew [5]

Answer:4

Explanation:

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3 years ago

If dy/dx=2xy^2 and y(-1)=2, find y(2)

Amiraneli [1.4K]

This is a separable first order differential equation as an initial value problem.

$\dfrac{dy}{dx} =2xy^2$

Divide both sides by y².

$\dfrac{1}{y^2}\dfrac{dy}{dx}=2x$

Multiply both sides by dx.

$\dfrac{1}{y^2} dy=2x \times dx$

Integrate both sides.

$\int \dfrac{1}{y^2} dy= \int 2x \times dx$

$- \dfrac{1}{y}=x^2+C$

Multiply both sides by -1

$\dfrac{1}{y}=-x^2+C_1$
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Now, isolate y on one side of the equation.

$y=\dfrac{1}{-x^2+C_1}$

That's the general solution. Now, plug in the value x=-1 and y=2.

$2=\dfrac{1}{C_1-1}$

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The final solution is the following:

$y=\dfrac{1}{-x^2+3/2}$

I hope this helps! If you need any clarifications, feel free to comment! :)

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4 years ago

Help! please show work on how you got your answer. See attachment.

Feliz [49]

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3 years ago

I need help, i get like 4712, but its not an answer

ella [17]

So you will need to find the height, and we can do so by using the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . Using this formula, we can make the equation $15^2+h^2=25^2$

Firstly, solve the exponents: $225+h^2=625$

Next, subtract 225 on both sides: $h^2=400$

Lastly, square root both sides, and your answer is h = 20.

Now that we got the height, we can solve for the volume, which is $V=\pi r^2\frac{h}{3}$ . Using this formula, we can form our equation to be $V=\pi 15^2\frac{20}{3}$