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3 years ago

Which number below is 9 a common factor of 16 and 20?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

The number is four. 4 is a common factor of both 16 and 20 and is below 9.

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Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?

Paul [167]

Answer:

Yes because sum of 2 line segment is greater than the third side

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

4 years ago

3*10^-1/2*10^2 standard form

Musya8 [376]

Can you like show a picture because I don’t understand what you tryna ask

6 0

3 years ago

Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on

CaHeK987 [17]

The time before they will arrive together next is given by the LCM of 16 and 18 which is 144 minutes
2:55 PM + 2 h 24 minutes = 5.19 PM

Its B

4 0

3 years ago

List from smallest to largest 7/12 1/2 2/3 4/10 1/6

Vlad1618 [11]

Answer:

So if you're having difficulty visualizing the differences, you can rewrite them so they all have the same denominator

7/12 = 35/60

1/2 = 30/60

2/3 = 40/60

4/10 = 24/60

1/6 = 10/60

So now it's easier to see how they compare to each other.

10/60, 24/60, 30/60, 35/60, 40/60

And then simplify them or just refer to what they were before

1/6, 4/10, 1/2, 7/12, 2/3

I hope this helps!

3 0

3 years ago