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masha68 [24]
3 years ago
10

Macy needs to double the number 439. What addition problem can she use?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0
439+439 is the same as doubling (439x2)
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Answer:

7/4

Step-by-step explanation:

\displaystyle\frac{2 +  \sqrt{ - 3} }{2} ( \frac{2 -  \sqrt{ - 3} }{2} )~~~~~~

Evaluate.

Solution:

Rewrite it as,

  • \displaystyle\frac{2 +    \sqrt{  - 1 }  \sqrt{  3} }{2} ( \frac{2 -  \sqrt{ - 1}  \sqrt{3} }{2} )
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Multiplying them,

  • \displaystyle\frac{(2 +  i\sqrt{  3})\times(2 - i \sqrt{3})   }{2 \times 2}

  • \displaystyle\frac{(2 +  i\sqrt{  3})\times(2 - i \sqrt{3})   }{4}

Applying Distributive property,

  • \displaystyle\frac{2(2 +  i\sqrt{  3}) +  \: i \sqrt{3} (2 - i \sqrt{3})   }{4}

  • \cfrac{2 \times 2 + 2( - i \sqrt{3} ) + i \sqrt{3}(2 - i \sqrt{3} ) }{4}

  • \cfrac{2 \times 2 + 2( - i \sqrt{3}) + i \sqrt{3}   \times 2 + i \sqrt{3} ( - i \sqrt{3}) }{4}

Combining each terms,

  • \cfrac{4 - 2i \sqrt{3} + 2i \sqrt{3}   + 3}{4}
  • \cfrac{ - 2i \sqrt{3}  + 2i \sqrt{3} + 7 }{4}
  • \boxed{\cfrac{ 7}{4} }

Last Choice is accurate.

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COLOR THEME
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Answer:

um

Step-by-step explanation:

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