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Sophie [7]
2 years ago
10

What is the slope of the line whose equation is 12=4x−6y? Enter your answer in the box.

Mathematics
1 answer:
swat322 years ago
5 0
Slope= 2/3
Explanation- adding 6y on both sides and subtracting 12 on both sides of eq, 12 + 6y -12=4x+6y-6y-12
6y = 4x-12
Divide by 6 on both sides of eq, we get y=4/6 x -12/6
y=2/3 x-2
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Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
2 years ago
Simplify x²-49/3x+21
Vera_Pavlovna [14]
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:

\frac{(x-7)(x+7)}{3(x + 7)}

Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:

\frac{(x-7)}{3}

3 0
3 years ago
Read 2 more answers
Simplify 10/12 to it's smallest
Rom4ik [11]
I think that the answer is 
5/6

hope i helped :)
5 0
3 years ago
Read 2 more answers
What is the value of y
AVprozaik [17]

Answer:

D) 44°

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

So

y + y = 88

2y = 88

y = 44

6 0
3 years ago
A square table top has an area of 36 cm sq . What is each side?
Natalija [7]
6 because 6 times 6 is 36
5 0
2 years ago
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