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Rus_ich [418]
3 years ago
5

In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Poi

nts A′, B′, and D′ are shown, but the line of reflection and point C′ are not.
Mathematics
1 answer:
krek1111 [17]3 years ago
4 0

Answer:

answer: The line of reflection must be x=5.

Step-by-step explanation:

Given: In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not .

coordinates of C from the graph = (4,2)

If the coordinates of C'=(6,2)

we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5

Therefore, the line of reflection must be x=5.

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Step-by-step explanation:

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Which applies the power of a product rule to simplify (5 t) cubed?
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Answer:

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Step-by-step explanation:

Let us revise some rules of exponents

a^{m} × a^{n} = a^{m+n}  

a^{m} ×÷ a^{n} = a^{m-n}

(a^{m})^{n} = a^{m.n}

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To simplify (5t)^{3}

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∵ (5)³ = 5 × 5 × 5 = 125

∴ (5t)^{3} = (5)^{3}.(t)^{3} = 125 t³

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed

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