Ask question

Ask question

All categories

2 years ago

14

Work out the perimeter of the shaded shape.

1 answer:

UNO [17]2 years ago

7 0

Answer:

45m

Step-by-step explanation:

4m+19m+14m+8m=45m

You might be interested in

7/8 - 1/4 - 1/2= ??

madreJ [45]

Step-by-step explanation:

We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.

Cheers!

7 0

2 years ago

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

3 years ago

Write a decimal in tenths that is less than 3.81 but greater than 3.0

marin [14]

Maybe 38/10. Transforming it into fractions, then in tenths

4 0

3 years ago

Read 2 more answers

at a bus station , buses depart at a rate of 3 every 10 minutes. at this rate, _____buses will depart in 1 hour

Marina CMI [18]

1 hour = 60 minutes

60 minutes / 10 minutes = 6

So 6 times in one hour 3 buses depart.

6 x 3 = 18 total buses in an hour.

6 0

3 years ago

Which expression is equivalent to -6x^3 • x • y^2 • y^6?

Georgia [21]

Use the Product Rule: x^ax^b = x^a + b

6x^3 + 1y^2 + 6

Simplify 3 + 1 to 4

6x^4y^2 + 6

Simplify 2 + 6 to 8

<u>= C) 6x^4 y^8</u>

4 0

3 years ago