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pickupchik [31]
2 years ago
6

What is the sum of the expression (8- 4 i) + (-2+7i)?

Mathematics
1 answer:
prohojiy [21]2 years ago
5 0

Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

∴ The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

∴ The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

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Blaine buys 2 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, t
cestrela7 [59]

Answer:

$ 12.09

Step-by-step explanation:

formula Y = KX

Where; y = $ 24.18

            x = 2 books

            k = constant of proportionality

Step 1. Do the equation based on the formula

Y = kx

$24.18 = k2

Step 2.  Divide by 2

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5 0
3 years ago
234.2 in expanded form
avanturin [10]

Answer:

Expanded Notation Form:

 

234.2

=

 

200

 

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+

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+

 

0.2

Expanded Factors Form:

 

 

234.2

=

 

2 ×

100

 

+

3 ×

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Expanded Exponential Form:

 

234.2 =

2 × 102

+

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4 × 100

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2 × 10-1

Word Form:

234.2 =

two hundred thirty-four and two tenths

8 0
3 years ago
What you find 420% of 85 what are you looking for?​
muminat

Answer:

420% of 85 = 357

Step-by-step explanation:

85/x=100/420

(85/x)*x=(100/420)*x       - we multiply both sides of the equation by x

85=0.23809523809524*x       - we divide both sides of the equation by (0.23809523809524) to get x

85/0.23809523809524=x

357=x

x=357

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