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In Mathematics / College | 2025-08-20

Which values of [tex]$x$[/tex] and [tex]$y$[/tex] would make the following expression represent a real number? [tex](4+5 i)(x+y i)$[/tex]
A. [tex]$x=4, y=5$[/tex]
B. [tex]$x=-4, y=0$[/tex]
C. [tex]$x=4, y=-5$[/tex]
D. [tex]$x=0, y=5$[/tex]

Asked by darvichess

Answer (2)

I would show it in decimals. Seeing it to show how close it is to one would make it a lot easier- 1/6= .16. 1/8=.125 and 1/3=.33 So looking at the decimals you can see how one would be bigger than the other

Answered by nlucido | 2024-06-10

The fraction 6 1 ​ is greater than 8 1 ​ because its decimal form (0.1667) is larger than that of 8 1 ​ (0.125). Meanwhile, 6 1 ​ is less than 3 1 ​ because 0.1667 is smaller than 0.3333. Therefore, 6 1 ​ is positioned between 8 1 ​ and 3 1 ​ .
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Answered by nlucido | 2025-03-03

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