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3 years ago

Which transformation moves all points the same distance in the same direction?

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

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The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

Read 2 more answers

Select all the sets of numbers that are possible values for x in the inequality, x>- 2.

lana66690 [7]

Answer:

{-1, 0,5}

Step-by-step explanation:

3 0

2 years ago

If you don’t help me your a criminal

STALIN [3.7K]

Answer:

take angle U as reference angle

using sine rule

sin U=opposite/hypotenuse

sinU=42/42

sin U=1

sin 90=1

therefore the value of U is 90 degree

Step-by-step explanation:

6 0

3 years ago

Advantages and disadvantages of simple interest

omeli [17]

Answer:

Simple interest, specifically in bank offers a grace period of six days, which gives time to payback. When saving money or investing, if the interest rate is high then the customer benefits. The disadvantages in simple interest are that if the interest rate is high then the borrower will pay more.

7 0

3 years ago

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Solve for x:<br> 4(1-x)+3x=-2(x+1)

Orlov [11]

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = − 6

Step-by-step explanation:

I hope this helps! Have a nice day!

8 0

2 years ago