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2 answers:
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The correct answer is: [A]: " 6 to the power of (1 over 6) " .
Explanation:
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√ [(∛6)] = √ [6⁽¹/³⁾ ] = [6⁽¹/²⁾ ] ⁽¹/³⁾ = 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) = ???? ;
<u>Note</u>: ;
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→ 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) ;
= 6^ ( ⁽¹/⁶⁾ ) ;
→ which is: Answer choice: [A]: " 6 to the power of (1 over 6) " .
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Answer:
- QN = 3√7
- OI = √7
Step-by-step explanation:
The ratio of corresponding sides DN and KI is 12 : 4 = 3 : 1. The same ratio applies to altitudes DQ and KO. Since the difference between these altitudes is 6 and the difference between their ratio units is 3-1 = 2, each ratio unit must stand for 6/2 = 3 units of linear measure. That is, ...
DQ = (3 units)·3 = 9 units
KO = (3 units)·1 = 3 units
Then the base lengths QN and OI can be found from the Pythagorean theorem:
KI² = KO² +OI²
4² = 3² +OI²
OI = √(16 -9)
OI = √7
QN = 3·OI = 3√7
