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3 years ago

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

Mathematics

2 answers:

ira [324]3 years ago

6 0

Answer:

A. 180 degrees rotation

Step-by-step explanation:

<u>The described is the rule:</u>

(x, y) → ( - x, - y)

This is the 180 degrees rotation

Correct option is A.

liberstina [14]3 years ago

4 0

Answer:

<em><u>Theory</u></em>

When the coordinates (x,y) of the triangle is rotated 180°, the new coordinates become (-x,-y).

Angle’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

<u>180 degrees rotation </u><u>✓</u>

270 degrees clockwise rotation

90 degrees counterclockwise rotation

90 degrees clockwise rotation

<u>180° degree rotation</u> is the right answer.

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1 year ago

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3 years ago

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The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

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You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

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$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

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Now, let's find the slopes for each of the sections of the function:

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$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

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$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

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