All categories

3 years ago

Complex numbers simplify square roots of negative numbers

Mathematics

2 answers:

sergey [27]3 years ago

8 0

Step-by-step explanation:

√-100

√-(10)²

√10²√-1

10i

0+10i

Bogdan [553]3 years ago

3 0

Lets do

$\\ \sf\longmapsto \sqrt{-100}$

$\\ \sf\longmapsto \sqrt{-(10)^2}$

$\\ \sf\longmapsto \sqrt{10^2}\sqrt{-1}$

$\\ \sf\longmapsto 10i$

Write in standard form

$\\ \sf\longmapsto 10i$

$\\ \sf\longmapsto \boxed{0}+\boxed{10}i$

You might be interested in

PLEASE HELP I WILL GIVE BRAINLIEST

yan [13]

Answer: part A its -1/9 and for part B its -1/18 trust me i did the test it was hard but I got an 80 and I got part A and B right

Step-by-step explanation:

6 0

2 years ago

How so you divide????

kicyunya [14]

To divide you are basically taking something and putting it into groups. For example, if you have 20 divided by 5, you can look at it like this.

20 apples and 5 baskets, you place one apple in each of the 5 baskets. Than you do this again until there is an even amount of apples in each basket and you don't have any outside the baskets.

So what if you have 24 apples and 5 baskets. You could do the same steps but your going to have a remainder of 4 apples because 4 apples wont fit into 5 baskets without you cutting them.

And also if you have say, 21 apples and 5 baskets you can go through the same steps but you can cut the remainder apple into 5 equal peaces to get 4.2.

6 0

3 years ago

Justine received a bonus check from her work for $6000. She is going to deposit the money into her bank account that receives 5%

Digiron [165]

Assuming the inteest is annual, since it's simple that means we just have to analyze:

$A=P(1+r)^t$ , where r is our interest rate as a decimal, t is time, p is our principal investment and A is our ending value. So, in the context of our problem this becomes:

$A=6000(1.05)^5$ , which when evaluated by our trusty calculator becomes:

7657.68938,

which is rounded to 7500 in the problem.

5 0

3 years ago

Help I need answers I don't know what to do I'm dumb it's due today

Alinara [238K]

1.<AFC
2.<AFD
3.<AFE
4.<AFB

#5, 6 and 7

m<BAE = 59

m<BAC + m<CAD + m<DAE = m<BAE
4x - 20 + x + 12 + x + 1 = 59
6x - 7 = 59
6x = 59 + 7
6x = 66
x = 11

m<BAC = 4x - 20 = 4(11) - 20 = 24
m<CAD = x + 12 = 11 + 12 = 23
m<BAE = x + 1 = 11 + 1 = 12

answer
5.
m<BAC = 24
6.
m<CAD = 23
7.
m<BAE = 12

#8, 9 and 10

m<BAE = 130

m<BAC + m<CAD + m<DAE = m<BAE
3x - 10 + 2x + 5 + x + 15 = 130
6x + 10 = 130
6x = 120
x = 20

m<BAC = 3x - 10 = 3(20) - 10 = 60 -10 = 50
m<CAD = 2x + 5 = 2(20) + 5 = 40 + 5 = 45
m<DAE = x + 5 = 20 + 15 = 35

answer

8.
m<BAC = 50
9.
m<CAD = 45
10.
m<DAE = 35

4 0

3 years ago

Of the CP of 15 articles equals to the SP of 12 articles, find the gain percent. an ple 4:

Rasek [7]

Question

If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain% = $\frac{s.p - c.p}{c.p}$ × 100%