MATHEMATICS MIDDLE SCHOOL

Z=sqrt 2[cos(-pi/4)+isin(-pi/4)]=a+bi what is a and b?

Answers

Answer 1

Answer:

Answer:

$\boxed{\boxed{a=1,b=-1}}$

Step-by-step explanation:

The given expression is,

$z=√(2)\left[\cos(-(\pi)/(4))+i\sin (-(\pi)/(4))\right]$

According to Distributive property,

$=√(2)\cos(-(\pi)/(4))+i√(2)\sin (-(\pi)/(4))$

we know that,

$\cos(-(\pi)/(4))=\cos((\pi)/(4))=(1)/(\sqrt2)$

and

$\sin(-(\pi)/(4))=-\sin((\pi)/(4))=-(1)/(\sqrt2)$

Putting these,

$=√(2)\cdot (1)/(\sqrt2)-i√(2)\cdot (1)/(\sqrt2)$

$=1-i\cdot 1$

$=1-i$

Comparing this to $a+bi$ , we get

$a=1,b=-1$

Answer 2

Answer:

Answer: a=1, b=-1

Step-by-step explanation: I got this right on Edmentum

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What’s 3x -7y = 4x + 3y

What is this question

Answers

the equivalent fraction would be 2/4. as you can see, 2/4 can be simplified down to 1/2. if you filled up half of the fraction bar, you would have 2 boxes of 1/4 filled. 1/4 and 1/4 is 2/4

4(3a + 7) + 3(2a + 5)

Answers

Answer: 18a + 43 is the simplest form

Step-by-step explanation:

4(3a + 7) + 3(2a + 5)

4 * 3 a= 12a

4 * 7 = 28

3 * 2a = 6a

3 * 5 = 15

12a + 28 + 6a + 15

12a + 6a = 18a

28 + 15 = 43

18a + 43

What are the intercepts of the line?A.
x-intercept: –3; y-intercept: –7

B.
x-intercept: –3; y-intercept: 7

C.
x-intercept: 7; y-intercept: –3

D.
x-intercept: 7; y-intercept: 3

Answers

The y-intercept is (0, 7) the x-intercept is (-3, 0)

Your answer is B

Answer:

x-3

Step-by-step explanation:

Patty is a member of the environmental club. Each weekday, she volunteers for 2 hours. On Saturday and Sunday, she volunteers 3 hours more each day. Which expression shows how to find the number of hours she volunteers in one week

Answers

Answer:

Step-by-step explanation:

She volunteers for hours on each week day = 2

No. of week days = 5

So, She volunteers for hours on 5 week day = $5 * 2$

On Saturday and Sunday, she volunteers 3 hours more each day.

So, on weekend She volunteers for hours on each day = 2+3 = 5 hours

No. of days in weekend = 2

So, She volunteers for hours on weekend $2 * 5$

So, the number of hours she volunteers in one week:

= $5 * 2+2 * 5$

= $20$

Hence the number of hours she volunteers in one week is 20

2 (hours) × 5 (weekdays) + 10 ( total number of hours on weekend )

or

2×5 + 4×3? sorry if its wrong could be right tho

What is 12% of 17.5?

Answers

12 percent of 17.5 is equal t0 2.1.

Here we have to calculate,

12% of 17.5

We know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

So in order to find percentage,

Divide 12 by 100,

Therefore,

⇒ 12% = 12/100

= 0.12

Now multiply 0.12 wit 17.5 we get,

⇒ 0.12 x 17.5

⇒ 2.1

Hence,

The required value ⇒ 2.1.

Learn more about the percent visit:

brainly.com/question/24877689