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Anarel [89]
3 years ago
5

the length of a rectangle is represented by (6x-2), and the width is represented by (x-1). which expression best represents the

perimeter of the rectangle?
Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

The perimeter of given rectangle can be given by: 14x-6

Step-by-step explanation:

Let

L be the width of the rectangle and

W be the width of the rectangle

Here,

L = 6x-2

W=x-1

The perimeter of rectangle is given by:

P=2(L+W)

Putting the values of L and W

P=2[(6x-2)+(x-1)]\\=2(6x-2+x-1)\\=2(7x-3)\\=14x-6

The perimeter of given rectangle can be given by: 14x-6

Keywords: Rectangle, Perimeter

Learn more about rectangle at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

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Step-by-step explanation:

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8 0
3 years ago
4x^2 y+8xy'+y=x, y(1)= 9, y'(1)=25
jarptica [38.1K]

Answer with explanation:

\rightarrow 4x^2y+8x y'+y=x\\\\\rightarrow 8xy'+y(1+4x^2)=x\\\\\rightarrow y'+y\times\frac{1+4x^2}{8x}=\frac{1}{8}

--------------------------------------------------------Dividing both sides by 8 x

This Integration is of the form ⇒y'+p y=q,which is Linear differential equation.

Integrating Factor

 =e^{\int \frac{1+4x^2}{8x} dx}\\\\e^{\log x^{\frac{1}{8}+\frac{x^2}{2}}\\\\=x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}

Multiplying both sides by Integrating Factor  

x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\times [y'+y\times\frac{1+4x^2}{8x}]=\frac{1}{8}\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\\\\ \text{Integrating both sides}\\\\y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\frac{1}{8}\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx \\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=-[x^{\frac{9}{8}}]\times\frac{ \Gamma(0.5625, -x^2)}{(-x^2)^{\frac{9}{16}}}\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=(-1)^{\frac{-1}{8}}[ \Gamma(0.5625, -x^2)]+C-----(1)

When , x=1, gives , y=9.

Evaluate the value of C and substitute in the equation 1.

6 0
3 years ago
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Anna11 [10]

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Step-by-step explanation:

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serg [7]
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Step-by-step explanation:

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