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2 years ago

Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___

Mathematics

1 answer:

slega [8]2 years ago

6 0

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i ) = -48 + 18i + 56i -21i^2

Combine like terms

= -48 + 74i -21i^2

Convert i^2 = -1

= -48 + 74i -21(-1)

And simplify

= -48 + 74i + 21

= -27 + 74i

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Pls help me on these 2 questions !!

motikmotik

Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

$\frac{2}{10} = \frac{4}{a - 3} \\ \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\ \frac{ + 6 = \: \: \: \: \: \: \: \: + 6}{ \frac{46}{2} = \frac{2a}{2} } \\ \\ 23 = a$

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$\frac{k}{6} = \frac{4}{3} \\ \\ \frac{24}{ 3} = \frac{3k}{3} \\ \\ 8 = k$

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3 years ago

An animal gained 5 kilograms steadily over 20 years. What is the unit rate of kilograms per year?

balandron [24]

The unit rate is 0.25 kilograms per year.

Step-by-step explanation:

Lets define unit rate first

Unit rate is the change in quantity per unit time.

Given

Weight = w = 5 kg

Time = t = 20 years

So,

$Unit\ rate = \frac{weight}{time}\\=\frac{w}{t}\\= \frac{5}{20}\\= 0.25$

Hence,

The unit rate is 0.25 kilograms per year.

Keywords: Unit rate, rate of change

Learn more about unit rate at:

#LearnwithBrainly

5 0

3 years ago

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

lianna [129]

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

z2=(10/3)2=100/9

7 0

3 years ago

15 points- fill in the blank. One question. Please hurry!

geniusboy [140]

Answer:

(3-2h)^3 + (3-2h)^4 = (3-2h^2)^3 (1 + (3-2h^2))

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3 years ago

Read 2 more answers

Find the area of the figure below 8 inches, 5 inches

Daniel [21]

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

4 0

3 years ago