1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nataly862011 [7]
3 years ago
10

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
Stacy goes to the county fair with her friends . The total cost of ride tickets is given by the equation c=3.5t , where c is the
madreJ [45]

Answer:

<h2><u>$52.5</u></h2>

Step-by-step explanation:

Step one:

given data

we are given that the linear function for the cost is  c=3.5t

c is the cost and

t is the number of tickets.

We are told that t=15, to find c, let us put the value of t in the linear function for the cost

c=3.5(15)\\\\c=52.5

<u>This shows that 15 tickets will cost $52.5</u>

<u />

3 0
3 years ago
Find the magnitude and direction in degrees of the vector v=6i+2 seq31​
masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

=\sqrt{6^2+\left(2\sqrt{3}\right)^2}

=\sqrt{36+12}

=\sqrt{48}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

=\sqrt{3}\sqrt{2^4}

=4\sqrt{3}

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)

\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}

6 0
3 years ago
the length of a rectangular parking lot at the airport is 2/3 is mile.if the area is 1/2 square mile,what is the width of the pa
ch4aika [34]

Answer:

3/4

Step-by-step explanation:

3/4*2/3+1/2

8 0
3 years ago
Can somebody help me
Vanyuwa [196]
It is 1a over bd and 8 over k
4 0
4 years ago
If f and g are functions, then (fog)(x) is always equal to (gof)(x)<br><br> true or false
valentina_108 [34]

Answer:

False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.

4 0
4 years ago
Other questions:
  • How do you solve a constant rate problem?
    11·1 answer
  • A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies
    9·2 answers
  • What value of s makes the statement true? (–7 + s) + (–14) = (12 + (–7)) + (–14)
    12·1 answer
  • Evaluate the expression. ​38+16⋅12÷2−(30⋅2)
    7·1 answer
  • A deli has five types of meat, two types of cheese,
    12·2 answers
  • I need shapes name A and D
    6·1 answer
  • Given the following equation, solve for x.<br> y = mx+b
    14·1 answer
  • Factorise: x^2/y^2+1+y^2/X^2​
    15·1 answer
  • Who listens to A.J.R or Oliver Tree
    7·1 answer
  • Can u pls help me with this question ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!