the imaginary unit i is defined as i = ?​

Answers

Answer 1
The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x2 + 1 = 0. ... There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root).

Related Questions

True/False;
This table represents a linear function.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

help pls
i will be friend

Answers

Answer:

brainliest pls

Step-by-step explanation:

Is 2xy=-8 a function ?

Answers

Technically no, it is an equation. A function would be of the form: f(y)= (-8) / (2x). It is basically the same thing but written differently yet if you want to be accurate with the terminology, your answer is no.

Todd swam three trials of the 50-meter freestyle. His time was 32.15 seconds for the first trial, 31.67 seconds for the second trial, and 30.55 seconds for the third trial. Part A What is Todd's combined time for all three trials? Enter your answer in the box. seconds Part B How much faster was Todd's second trial than his first trial? Enter your answer in the box. second(s)

Answers

Answer:

A. 94.37 seconds

B. 0.48 seconds

Step-by-step explanation:

Total distance = 50 meters

First trial = 32.15 seconds

Second trial = 31.67 seconds

Third trial = 30.55 seconds

A. What is Todd's combined time for all three trials

Todd's combined time for the three trials = First trial + Second trial + Third trial

= 32.15 seconds + 31.67 seconds + 30.55 seconds

= 94.37 seconds

B. How much faster was Todd's second trial than his first trial?

Second trial = 31.67 seconds

First trial = 32.15 seconds

Time taken for first trial - Time taken for second trial -

= 32.15 seconds - 31.67 seconds

= 0.48 seconds

Todd's second trial was 0.48 seconds faster than his first trial

What is 1% of 75? explain how

Answers

Answer:

0.75

hope it helps

plz mark brainliest

Answer:

0.75

Step-by-step explanation:

1%×75

=1/100×75

=0.01×75

=0.75

is 4(5c + 3) and 9c + 7 equivalent?

Answers

Answer:

No sir  

Step-by-step explanation:

when you see  Parentheses beside a number it means your mutiplying

your answer would be: 20c + 12

Answer:

Find the exact value using trigonometric identities.

20

c

+

12

Step-by-step explanation: 20 c + 12 c will give you your answer.

In the following expression, 7x +15, what is the 7?
A. coefficient
B. term
C. constant
D. variable​

Answers

Answer:

A. coefficient

Step-by-step explanation:

A constant is the number that isn't with any variable, which in this case, the constant would be 15.

A variable is a unknown value, which in this case, the variable would be x.

The term are the numbers in the equation, which in this case, the terms would be 7x and 15.

The 7 in the expression 7x + 15 is the coefficient.

The correct option is A.

What is an expression?

A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.

In general, a coefficient is the numerical factor of a term that contains a variable. In this case, the term containing the variable x is 7x, and the coefficient of this term is 7. The term 15 is a constant term, which is a term that does not contain any variables.

To learn more about the expression;

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Can someone help me plz I will mark brainliest

Answers

Answer:

the answer its C i hope i Helped you

Step-by-step explanation:

Answer:

C. infinitely many solutions

Step-by-step explanation:

Using the diagram below and with reference to the angle θ, state the length of the opposite side.

The diagram is not drawn to scale.
cm

Answers

Answer:

given,

θ is the angle of the opposite side

cm=θ

Solve for linear equations by substitution

x + 2y = 6
X-y=3

Answers

Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

 

Step-by-step explanation:

Answer:

x=4 and y=1

4 1/3 minus - 2/3
Please hurry!

Answers

Answer: 11/3

Step-by-step explanation:

(4 1/3) - (2/3) = (13/3) - (2/3) = 11/3

Answer: 5

Step-by-step explanation:

[tex]\displaystyle\\4\frac{1}{3} -(-\frac{2}{3})=\\\\ \frac{(4)(3)+1}{3} +\frac{2}{3}=\\\\ \frac{12+1+2}{3}=\\\\ \frac{15}{3}= \\\\5[/tex]

8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4, 4)}
a) Yes
b) No

Answers

Answer:

A

Step-by-step explanation:

Yes beacause it is a costant recurrence

g(x)=x^2-4
f(x) = -2x-3
Find g(-6) – f(-6)

someone help and please show steps!! <3 10 points !!!

Answers

Answer:

23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = x² - 4

f(x) = -2x - 3

g(-6) is x = -6 for function g(x)

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

g(-6)

Substitute in x:                    g(-6) = (-6)² - 4Exponents:                          g(-6) = 36 - 4Subtract:                              g(-6) = 32

f(-6)

Substitute in x:                    f(-6) = -2(-6) - 3Multiply:                               f(-6) = 12 - 3Subtract:                              f(-6) = 9

g(-6) - f(-6)

Substitute:                    32 - 9Subtract:                       23

The angle measures of triangle ABC are given:

The measure of angle A is (2x−10)°.
The measure of angle B is 70°.
The measure of angle C is (4x)°.
What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x=20

Step-by-step explanation:

By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:

2x-10+70+4x=180

Combine Like terms

6x+60=180

Subtract 60 from both sides

6x=120

Divide by 6 to isolate the variable

x=20

Answer:x= 20

Step-by-step explanation:

As the equation of three angles of a triangle is 180°,

Then, 2x-10+70+4x=180

6x=120

So,x= 20

._. kan someone help?

Answers

Answer:

The third one

Step-by-step explanation:

it number 3 one no prob

Step-by-step explanation:

distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

Answers

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

distance between (-4,0) and (2,2)

Answers

(4,2) is is the distance from these coordinates

please help asapp!!!?!!?!?!?

Answers

Step-by-step explanation:

the sum of interior angles in a triangle is 180°

so

2x+2+12x-8+6x+6=180

20x=180

x=180/20=9

so

m<A =6x+6=6*9+6=54+6=60

m<M=12x-8=12*9-8=100

m<N=2x+2=2*9+2=18+2=20

MAN is an obtuse triangle

because of 100° angle

question 4

isosceles

PLEASE HELP ITS DUE TMR

Answers

Answer:

it's 42 my bad...

Step-by-step explanation:

Answer:

Choice C 42 in^2

Step-by-step explanation:

Area of a triangle= 1/2(b)(h)

= 1/2(3)(6)

= 9

Since there is two triangles we can do:

9(2) = 18

Area of a rectangle = (b)(h)

= (4)(6)

= 24

24+18 = 42 in^2

Help please. Thanks!!!!!

Answers

Answer:

slope: 20/3 parallel

Step-by-step explanation:

y1-y2/x1-x2 gives you slope(30--10/12-6). Plot the points, create line segments, you'll find that they are parallel.

Answer:

1. 6[tex]\frac{2}{3}[/tex]

2. Parallel

Step-by-step explanation:

To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{30-(-10)}{12-6}[/tex]

     = [tex]\frac{40}{6}[/tex]

     = 6[tex]\frac{2}{3}[/tex]

If a graph has more than a point on the y-axis even though the x-axis remains the same, it means that it is a vertical line. Since Graph 1 has (-1) on the x-axis but there are two points on the y-axis, 4 & (-9), it is a vertical graph. Since Graph 2 has (11) on the x-axis but there are two points on the y-axis, (-2) & 6, it is also a vertical graph. Thus, both graphs are parallel.

Zero Slope: its graph is a ____________ line. When the ____ is on the top (numerator) when using the slope formula. When the ___ values are the same when looking at a table.

Answers

Answer:

Horizontal, 0, y

Step-by-step explanation:

1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth

Answers

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

Answer the following question and will mark Brainliest

Answers

Answer:

[0, ∞)

Step-by-step explanation:

The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).

If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).

(0,&) is the right answer

At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?

Answers

Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

Hi!,
The person who answered above made a mistake and went the wrong way.

Since the pool is already 20% off the price stated is only 80% (100-20=80) of the original price.

So, divide amount by 80.
168/80 = 2.10

Then multiply by 100 to find 100% price
2.10 x 100 = 210

Answer is $210

What is the volume of this pyramid???????​

Answers

Answer:

Step-by-step explanation:

A of base: l ×w =5×4=20cmsquared

Missing length of c=a+b=c

C=6+2

C=8cm

A of side 1= b×h÷2 ×2

= 5×8÷2×2

= 40 ÷2×2

=20 ×2

= 40 cm squared

A of side 2= b×h÷2×2

= 4×8÷2×2

= 32 ÷ 2 ×2

= 16 ×2

= 32cm squared

Total of pyramid is = area of base + A

off side 1 + A if side 2

=92 cm cubed

The senior class plans a school trip to Washington DC. Students should bring money for meals and
souvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.

Answers

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.

HELPPPPPP PLEASEEEEE !!!!!

Answers

Answer:

m∠DBC is 43°

Step-by-step explanation:

Let us solve the question

∵ D is in the interior of ∠ABC

→ That means D divides ∠ABC into two angles ABD and DBC

m∠ABD + m∠DBC = m∠ABC

∵ m∠ABD = (3x + 5)°

∵ m∠DBC = (5x - 7)°

∵ m∠ABC = 78°

→ Substitute them in the equation above

3x + 5 + 5x - 7 = 78

→ Add the like terms in the left side

∵ (3x + 5x) + (5 + -7) = 78

∴ 8x + -2 = 78

8x - 2 = 78

→ Add 2 to both sides

∴ 8x -2 + 2 = 78 + 2

∴ 8x = 80

→ Divide both sides by 8

x = 10

→ To find m∠DBC, substitute x by 10 in its measure

∵ m∠DBC = 5(10) - 7

∴ m∠DBC = 50 - 7

m∠DBC = 43°

Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4

Answers

Answer:

y = 1/2x +4

Step-by-step explanation:

Write in y = mx + b form.

The sum of three consecutive numbers is 36. What are the numbers?

Answers

Answer:

11, 12, and 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

11, 12, and 13

note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?

Answers

The price of each admission is 7

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount paid for admission =  $245

Total number of people=35

So,

let the price of admission be x

So, 35x= 245

Now dividing both side by 35

35x/35=245/35

x= 7

Hence, price of each admission is 7.

Learn more about unitary method here:

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