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Gelneren [198K]
3 years ago
14

Operations with complex numbers pls helppp

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
Answers:
L = 4
M = -3

--------------------------------------

Explanation:

On the left side, the number 20-12i is in the form a+bi where a = 20 and b = -12

On the right side, 5L+(4M)i is in the form a+bi where a = 5L and b = 4M

Equating the real parts a = 20 and a = 5L has us get
5L = 20
5L/5 = 20/5
L = 4

Do the same with the imaginary parts as well
b = -12
b = 4M
4M = -12
4M/4 = -12/4
M = -3

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Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

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<em>~ an aesthetics lover</em>

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