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Vinvika [58]
4 years ago
12

How can a translation and a reflection be used to map️HJK to ️LMN?​

Mathematics
1 answer:
Fantom [35]4 years ago
8 0

Answer:Translate k to N and reflect across the line containing JK

Step-by-step explanation:

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Smplify the radical expression. How many different ways can you write your answer?
mel-nik [20]

Answer:

2xy\sqrt[3]{2x^2z} and 2xy(2x^2z)^{\frac{1}{3}}.

Step-by-step explanation:

The given radical expression is

\sqrt[3]{16x^5y^3z}

We have to simplify the above expression.

The above expression can be written as

\sqrt[3]{(2\times 8)(x^{3+2})y^3z}

\sqrt[3]{(2\times 2^3)(x^3\times x^2)y^3z}    [\because a^{m+n}=a^ma^n]

\sqrt[3]{(2^3x^3y^3)(2x^2z)}

\sqrt[3]{(2xy)^3}\sqrt[3]{2x^2z}    [\because (ab)^m=a^mb^m]

2xy\sqrt[3]{2x^2z}    [\because \sqrt[n]{x^n}=x]

It can be written as exponent form.

2xy(2x^2z)^{\frac{1}{3}}    [\because \sqrt[n]{a}=a^{\frac{1}{n}}]

Therefore, the required expressions are 2xy\sqrt[3]{2x^2z} and 2xy(2x^2z)^{\frac{1}{3}}.

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