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2 years ago

What is the rule of the reflection?

Mathematics

1 answer:

iogann1982 [59]2 years ago

8 0

The rule of reflection in the image shown is: (x, -y).

<h3>What is Reflection?</h3>

Reflection is a transformation which creates a new image by flipping over a line of reflection. The new image is congruent to the original image after reflection. The rule of reflection over an x-axis is given as, (x, -y).

In the image given we can see that rotating triangle LMN over the x-axis gave us:

M(-5, 4) → M'(-5, -4)

L(-4, 2) → L'(-4, -2)

N(-2, 3) → N'(-2, -3)

Therefore, the rule of reflection is: (x, -y).

Learn more about reflection on:

brainly.com/question/26642069

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Answer:

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Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

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$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

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$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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