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3 years ago

What are to ratios that are equivalent to 1:1?

Mathematics

2 answers:

irinina [24]3 years ago

4 0

5:5 9:9 800:800 768:768

loris [4]3 years ago

3 0

2:2, 3:3, 4:4, 5:5 and the list continues

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(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

3 0

4 years ago

Help please,thank you (question 20)

bixtya [17]

There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties. Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.

3 0

3 years ago

Please answer this correctly

Alexeev081 [22]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the per

sammy [17]

Answer:

165 centimeters

Step-by-step explanation:

A pentagon has 5 sides

Each side is 33 centimeters long

5 x 33 = 165

8 0

3 years ago

Find the value of x in the figure below.

inessss [21]

Step-by-step explanation:

75 is equal to opposite angle of x.

so,

75° +65°+ x=180°( by all angles sum)

140°+x=180°

x=180°-140°

x=40°

4 0

3 years ago

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