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sveticcg [70]
3 years ago
9

Simplify the expression shown below.(6+8i)(4-7i)

Mathematics
2 answers:
REY [17]3 years ago
7 0
<span>(6+8i)(4-7i)
=6(4-7i)  + 8i(4-7i)
= (6)(4)-(6)(7i)+(8i)(4) - (8i)(7i)
= 24 - 42i + 32i - 56i^2
</span>= 24 - 42i + 32i - 56(-1)
= 24 - 42i + 32i + 56
= 24 +56 - 42i + 32i 
= 80 - 10i (final answer)
Tema [17]3 years ago
5 0
Simplify the expression shown below.(6+8i)(4-7i)

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Lines a and b in the figure above are parallel. What is the value of p?
elena-s [515]
It will be c- 20:
4q and 2(q+30) have to equal the same therefore q=30 which makes both these equations equal.
3p + 4q then have to equal 180 as they are on a straight line so you know q=30 so 4x30=120 so 180-120=60
Then 60/3=20 and that is your answer.
Hope this helps :)
7 0
3 years ago
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Vsevolod [243]

Answer:

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5 0
2 years ago
A.42.6 square units<br> B. 128 square units <br> C. 32 square units <br> D. 64 square units
kirill [66]

Answer:

Step-by-step explanation:

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4 0
3 years ago
When are the absolute value and the opposite of a rational number equal
natulia [17]
|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

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8 0
3 years ago
Rowan reads at a constant rate of 1.5 pages per minute and has already
saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

  • He has already read 20 pages, hence the y-intercept is b = 20.
  • He reads 1.5 pages per minute, hence the slope is a = 1.5

Then:

y_R = 1.5x + 20

For Kennedy, we have that:

  • He has already read 25 pages, hence the y-intercept is b = 25.
  • He reads 1 page per minute, hence the slope is a = 1

Then:

y_K = x + 25

They will have read the same number of pages after x minutes, for which:

y_R = y_K

Then:

1.5x + 20 = x + 25

0.5x = 5

x = \frac{5}{0.5}

x = 10

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0
2 years ago
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