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Sophie [7]
3 years ago
15

Join this will be helping you with question

SAT
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

Explanation:

Ok

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state five different ways in which SATourism promotes tourism development and growth in south Africa as a destination of choice
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What values of c and d would make the following expression represent a real number? i(2 3i)(c di) c = 2, d = 3 c = –2, d = 3 c =
Olegator [25]

Complete question:

<em>What values of c and d would make the following expression represent a real number? i(2 + 3i)(c + di) </em>

<em>choices: A)c = 2, d = 3 B)c = –2, d = 3 C)c = 3, d = –2 D)c = –3, d = –2</em>

<em />

<em>Option D</em><em> is correct. </em> The value of c and d for the expression to be real are -3 and -2 respectively

Given the expression

i(2 + 3i)(c + di)

Expand the expression

=i(2 + 3i)(c + di)\\=(2i+3i^2)(c+di)\\=(2i+3(-1))(c+di)\\=(2i-3)(c+di)\\=2ic+2di^2-3c-3di\\=2ic-2d-3c-3di

Collect the like terms

=2ic-3di-2d-3c

For the resulting function to be real, then the imaginary part must be zero i.e.

2ic-3di=0\\2ci = 3di\\2c = 3d\\c=\frac{3d}{2}\\

If d = -2, then;

c=\frac{3(-2)}{2}\\c=\frac{-6}{2}\\c= -3

Hence the value of c and d for the expression to be real are -3 and -2 respectively.

Learn more here: brainly.com/question/4244460

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The piece of evidence which President Reagan use to logically conclude that the astronauts were aware of the dangers was the previous accident on the ground

  • Former President Ronald Reagan gave a powerful speech concerning the Space Shuttle Challenger disaster which claimed the life of all crew members including a teacher.

  • The shuttle’s launch was said to have been delayed at least two times before the lunch date and due to pressure from the White House, it launch on January 28, 1986.

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The piece of evidence which President Reagan use to logically conclude that the astronauts were aware of the dangers was the previous accident on the ground

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