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nasty-shy [4]
3 years ago
5

Find the value for x in the rectangular prism. Use exact values. ​

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

x = 2\sqrt{66}

Step-by-step explanation:

x = \sqrt{2^2+8^2+14^2}

  = \sqrt{4+64+196}

  = \sqrt{264}

  = 2\sqrt{66}

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\bf ~\hspace{10em}1\le x\le 5~\hspace{5em}\sqrt{x^3+36}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\sqrt{x^3+36}\implies \sqrt{x^{2+1}6^2}\implies \sqrt{x^2x6^2}\implies \sqrt{(6x)^2x}\implies 6x\sqrt{x}
\\\\\\
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2 years ago
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