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lbvjy [14]
3 years ago
14

Elliot was trying to factor 6z^2-18. He found the greatest common factor of these terms was 6.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

6(z^2-3)

Step-by-step explanation:

6z^2-18=6(z^2-3)

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Find the length of the third side. If necessary, round to the nearest tenth
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\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

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\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

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\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

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\longrightarrow{\green{}} 289 = 289

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