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2 years ago

Rotation 90 degrees counterclockwise about the origin

Mathematics

1 answer:

nataly862011 [7]2 years ago

3 0

Answer:

Point W = (-3, 3)
Point X = (-3, 2)
Point V = (-2, 3)

The rotation rule states that rotation 90° counterclockwise means (x, y) = (-y, x)

The new points would be equal to:

Point W' = (-3, -3)
Point X' = (-2, -3)
Point V' = (-3, -2)

Try graphing it to see if the new points make sense(because I'm not too sure :\)

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Gennadij [26K]

Question

Which expression is equivalent to $\frac{4mn}{m^{-2}n^6}$ . Assuming $m \neq 0; n\neq 0$

Answer:

$\frac{4m^3}{n^5}$

Step-by-step explanation:

Given

$\frac{4mn}{m^{-2}n^6}$

Required:

Simplify

To simplify this, we start by splitting each individual function

$\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}$

From laws of indices

$\frac{a^x}{a^y} = a^{x-y}$

SO, the above expression can also be expressed the same way

$\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}$

$\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}$

$\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}$

From laws of indices,

$a^{-x} = \frac{1}{a^x}$

So,

$\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}$

$\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}$

Hence, $\frac{4mn}{m^{-2}n^6}$ is equivalent to $\frac{4m^3}{n^5}$

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2 years ago

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x 3.5

----- = -------

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Rotation 90 degrees counterclockwise about the origin​

Rotation 90 degrees counterclockwise about the origin