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3 years ago

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false

Mathematics

1 answer:

bija089 [108]3 years ago

3 0

Answer:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

Step-by-step explanation:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

For example, if a point P(x, y) is rotated by 360° about the origin, it would return point P(x, y) to its original position.

i.e.

(x, y) → (x, y)

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

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3 years ago

What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?

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$\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}$

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Amanda [17]

The number of comic books is an illustration of a linear function

The complete equations are: $\mathbf{8b + 17 =65}$ and $\mathbf{b =6}$
The value of b has increased by 4

She had 17 comic books already.

So, we have:

$\mathbf{Base\ Amount = 17}$

Her order of 65 books contains 8 comic books per collection.

So, we have:

$\mathbf{Rate = 8}$

$\mathbf{Total = 65}$

This is represented as:

$\mathbf{Rate \times b + Base\ Amount =Total}$

So, we have:

$\mathbf{8\times b + 17 =65}$

Rewrite as:

$\mathbf{8b + 17 =65}$

Subtract 17 from both sides

$\mathbf{8b =48}$

Divide both sides by 8

$\mathbf{b =6}$

Assume she has 97 books in her collection, then the equation would be represented as:

$\mathbf{8b + 17 = 97}$

Subtract 17 from both sides

$\mathbf{8b = 80}$

Divide both sides by 8

$\mathbf{b = 10}$

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

Read more about linear equations at:

brainly.com/question/11897796

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2 years ago

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false​

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false