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3 years ago

I will mark you as brainlinest for correct answer!!!!!pleaseeeee help!!!!!!

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Perfect square means that it has two factors that are the same.

The last two are perfect squares.

m^2 + 24m + 144 can be factored to (m+12)(m+12)

m^2 + 10m + 25 can be factored to (m+5)(m+5)

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

2 years ago

WILL MARK BRAINLEIST

svlad2 [7]

F(2) = g(-2)
hope this helped :)

6 0

3 years ago

Read 2 more answers

Solve for x.<br> 4x - 36<br> 3x + 10

Anestetic [448]

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

7 0

2 years ago

Solve the system with elimination 4x+3y=1 -3x-6y=3

Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

$4x+3y=1$ and $-3x - 6y = 3$ , we can look at which variable will be easiest to eliminate.

$y$ looks like it might be easy to get rid of, we just have to multiply $4x+3y=1$ by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation $4x+3y=1$ by 2.

$2(4x + 3y = 1)\\8x + 6y = 2$

Now we can add these equations

$8x + 6y = 2\\-3x-6y=3\\$

------------------------

$5x = 5$

Dividing both sides by 5, we get $x = 1$ .

Now we can substitute x into an equation to find y.

$4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1$

Hope this helped!

5 0

3 years ago

Solve the expresssion x − 5 = 17

CaHeK987 [17]

Answer: x = 22

Step-by-step explanation:

We must isolate the x by itself.

We need to add 5 to both sides of the equation so it cancel out from the side with x.

So x = 22

7 0

2 years ago