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3 years ago

Find the area of the shaded region for the given figure in terms of x.

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

= (x + 2)(x + 2)

= (x + 2)²

= x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

= (x - 1)²

= x² - 2x + 1

Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)

= 6x + 3

Area of the shaded region = (6x + 3)

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Please help I will mark as brianliest

shutvik [7]

Answer:

x = -4

Step-by-step explanation:

-5x-4x-2 = -8x+2 is the only one with a solution.

-5x-4x-2 = -8x+2

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x = -4

8 0

3 years ago

Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

Which of these fractions is the largest-2/3,5/6,1/4,1/6

PolarNik [594]

5/6 is the largest fraction there. It is the most "full" in a way.

7 0

4 years ago

Read 2 more answers

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ehidna [41]

Any sum over 6 or more is likely to be rolled than a sum smaller than 6 because there is more of a probable chance to roll two dice with three or higher compared to rolling three or lower. of course this is theoretical probability, not experimental probablility ( physically rolling dice.)

7 0

3 years ago

May someone help me with this? I completely missed the whole class on accident

Iteru [2.4K]

Answer:

First question 0.3, but you should put a line on top of the 3.

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Sorry this is bad...

3 0

3 years ago