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yan [13]
4 years ago
7

Simplify (10 + 3i)(5 – 2i) ...?

Mathematics
2 answers:
iogann1982 [59]4 years ago
6 0
(10+3i)(5-2i)
30i=50-20i
50i=50
i=1

maybe
Fiesta28 [93]4 years ago
3 0

Answer:

56-5i

Step-by-step explanation:

Given are two complex numbers

10+3i and 5-2i

We are to find its product

Let us use foil method to multiply these two binomials.

(10+3i)(5-2i)\\=50+15i-20i-6i^2\\

Use the fact that i square =-1

We get product

= 50-5i+6\\=56-5i

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If the first and mean proportion of a continued proportion is 9 and 12, find the third proportion.
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3 years ago
Can someone explain which one it is and how they got the answer
VladimirAG [237]

Option D:

Measure of arc BEC = 228°

Solution:

Given angle A = 114° and vertical angle of A = 0.

<em>If two chords intersect inside the circle, then the measure of each angle is one half of the sum of the measures of the arcs intercepted by the angle and its vertical angle.</em>

$\Rightarrow \angle A = \frac{1}{2} (ar \ BEC + vertical \ ar A)

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Multiply by 2 on both sides, we get

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$\Rightarrow 228^\circ = (ar \ BEC)

Measure of arc BEC = 228°

Option D is the correct answer.

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