Operation of complex numbers
(8i-9)+(6i+4)

Answers

Answer 1

Answer: 14i-5

Step-by-step explanation:

Add the imaginary numbers first and then the natural numbers


Related Questions

Which relationships describe angles 1 and 2? Select each correct(multiple choice)
a adjacent
b vertical
c supplementary
d complementary ​

Answers

Answer: Supplementary

Explanation: Supplementary angles are angles that add up to 180 degrees. If you were to add 1 and 2, you would get 180 degrees.

Find the length of the rectangle given the area is x2-4x-45 ft2 and the width is x+5

Answers

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=x^2-4x-45\\ w=x+5 \end{cases}\implies x^2-4x-45=L(x+5) \\\\\\ \cfrac{x^2-4x-45}{x+5}=L\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}x+5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }=L\implies x-9=L[/tex]

Find the ratios for the trig functions below

sin A =

cos C =

Answers

Answer:

Sin A: 35/37

Cos C: 35/37

Step-by-step explanation:

Sin A: 35/37

Cos C: 35/37

Using acronym SohCahToa we know

Sin is Opposite/Hypotenuse

Cos is Adjacent/Hypotenuse

With each problem we mark by the letter given to create adjacent side.

I hope this helps!

The graph shows a point at (4,1) and a line segment with endpoint at (2,2) and (6,2) This line segment will be dilated with the point of dilation at (4, 1) and a scale factor of 2. What is the 2-coordinate of
one of the endpoints of the dilated segment?

Answers

Dilation involves changing the size of a figure

The endpoints of the image are (0,3) and (8,3)

How to determine the coordinates of the image

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (4,1)

The coordinates of the image are then calculated as:

(x,y) = (k(x -a) + a, k(y -b) + b)

For (2,2), we have:

[tex](x,y) \to (2(2 -4) + 4, 2(2 - 1) + 1)[/tex]

[tex](x,y) \to (0, 3)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -4) + 4, 2(2 - 1) + 1)[/tex]

[tex](x,y) \to (8, 3)[/tex]

Hence, the endpoints of the image are (0,3) and (8,3)

Read more about dilation at:

https://brainly.com/question/3457976

find the distance between the points (1, 2) and (4, 3)

Answers

(1, 2) and (4,3)
Use the distance formula to determine the distance between the two points.
Distance = \sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }
Substitute the actual values of the points into the distance formula.
\sqrt{(4-1)^{2 }+ (3-2)^{2} }
The result can be shown in multiple forms.
Exact Form: radical 10
Decimal Form: 3.16227766
It’s 10
For sure
;) trust me

what is the name of a chord that subtends two angles?​

Answers

Answer:

The angle made by the line segments from the chord's endpoints to the centre or at any point on the circle, then the angle formed is called the angle subtended by the chord at a point

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe you mean the angle subtended by two chords. The angle is called an inscribed angle

HELP PLEASE~~~
ill give brainlyest

Answers

Answer:

the correct answer is 5 for the first one and 20 for the second one

Step-by-step explanation:

hope this helps

Just a bit more.. I need it at around 70, it’s at 60 right now.

Answers

Answer:

( -5, 4 )

Step-by-step explanation:

(y = x + 9) 2

y = -2x - 6

2y= 2x + 18

y = -2x - 6

3y = 12

y = 4

4 = x + 9

-9         - 9

-5 = x

Brainliest for correct answer !!
Find h^-1 (x)

Answers

Answer:

[tex]\frac{3x + 1}{5}[/tex]

Step-by-step explanation:

y = [tex]\frac{5x-1}{3}[/tex]

make x the subject

3y = 5x - 1

3y + 1 = 5x

[tex]\frac{3y + 1}{5}[/tex] = x

now switch x with y
so,

[tex]\frac{3x + 1}{5}[/tex] (ans)

What is the slope of the line through (-5, 30) and (1, -6)?

Answers

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

Substitute the points into the formula format:

[tex] \frac{ - 6}{1} - \frac{30}{ - 5} = m[/tex]

Solve:

[tex] \frac{ - 36}{6} = m[/tex]

Divide:

[tex] - 6 = m[/tex]

The slope equals -6.

REALLY EASY POINTS
-
What are the values of a positive attitude?

Answers

Answer:

Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs

A triangle has an area of 13.5 square miles and a height of 4.5 miles. What is the length
of the base?

Answers

Answer:

6 miles

Step-by-step explanation:
Area is :

[tex]A = \frac{1}{2} hb[/tex]  OR [tex]A = \frac{hb}{2}[/tex]
So base is :
[tex]b = 2 \frac{A}{h}[/tex]
Substituting values given:
b = 2 × (13.5÷4.5)
b = 2×3
b=6

Answer:

the length of the base= 6miles

Step-by-step explanation:

Area of triangle =1/2 *Base*Hight

Now we sub the values in the formula:

13.5 = 1/2 * (length of the base) * 4.5

length of the base = (2 * 13.5)/4.5

length of the base = 6 miles

Answer pls! No spam!

Answers

Answer:

Check the attachment.

Isaac and Juanita are collectin apples to make an apple pie. Isaac picks up 3 apples every minute and Juanita picks up 5 apples every two minutes. If they need 40 apples for a pie, about how long will it take both of them to collect enough apples?

Answers

Answer:

it will take Isaac 13.3... mins and 9 mins for Juanita

Step-by-step explanation:

I think

Answer:

7.3 minutes

Step-by-step explanation:

Isaac: 3 apples/minute

Juanita: 5 apples / 2 minutes = 2.5 apples/minute

Together: 5.5 apples/minute

40 apples / (5.5 apples/minutes) = 7.3 minutes

if the original population was 500 and now is 2,000 what is the present of increase

Answers

Answer:500/2000 = 25/100 = 25%.

Related Standard Percentage Calculations on Change from 2000 to 3000

X Y Percentage(P) Change

2000 3100 55

2000 3120 56

2000 3140 57

2000 3160 58Step-by-step explanation:

help pls math question​

Answers

Step-by-step explanation:

Florence Nightingale OM RRC DStJ was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, in which she organised care for wounded soldiers at Constantinople.

A photo that is 8 in. wide and 12 in. long is enlarged to 24 in., what is the length of the poster?

Answers

Answer:

36 in. long

Step-by-step explanation:

If 8 in = 12 in

then 24 in = x

[tex]x = \frac{12 \times24 }{8} [/tex]

[tex]x = \frac{288}{8} [/tex]

x = 36 in.

It’s kinda new to me

Answers

Step-by-step explanation:

B) False

7:5 is reciprocal of 5:7

I NEED HELP LOLL

[tex]7 \frac{1}{2} \div \frac{3}{4} = [/tex]

Answers

Answer:

the answer is 40/4

Step-by-step explanation: 7 1/4 3/4 40/4

Two more than eleven times a number is equal to 24. What is the number?
Group of answer choices

2
4
6
9

Answers

The answer is 2
2 x 11 = 22
22 + 2 = 24

Solve for p.

p−3.16.7=4.55


p=−9.47

p = 2.93

p = 9.13

p = 21.53

Answers

Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.

65+7=72

Final answer: B

Step-by-step explanation:

Answer:

2.93

Step-by-step explanation:

Please help!!!!!!!!!!

Answers

Answer:

Julia find 2 more 3 inch leaves than 4 inch leaves

Charlie is having a miced fruit salad as a dessert he sort all the different pieces of fruits that he find finds in the salad and then shows these values on circle graph. Help me please urgently

Answers

Answer:

D. 1/4

Step-by-step explanation:

Total pieces of salad in the circle:

7 + 6 + 3 + 2 + 6 = 24

Orange pieces are 6 out of 24:

6/24 = 1/4

Total pieces

6+2+6+3+724

Orange fraction

6/241/4

Evaluate the expression below for x = 4 and y = 6: x2+ 2 (x+ y)

Answers

Answer:

The answer is 36

Step-by-step explanation:

Given;x² + 2(x + y)x = 4y = 6To Find;The value of x² + 2(x + y)

Now, Evaluate

x² + 2(x + y)

(4)² + 2(4 + 6)

16 + 2(10)

16 + 20 = 36

Thus, The answer is 36

-TheUnknownScientist 72

Answer:

the answer is 36

hope it's helpful

Need number 5 really badly

Answers

a = b

b = 180° - 130° = 50°

so a = 50°

For each value of u, determine whether it is a solution to - 7+5u < 33.

Answers

Answer:

All in order:

YES

NO

NO

YES

Step-by-step explanation:

-7 + 5(-6) < 33 YES

-7 + 5(8) < 33 NO

-7 + 5(9) < 33 NO

-7 + 5(-4) < 33 YES

2


math



pls help geniuses!!
———

Answers

Answer:

( -2, 9 )

= C

Step-by-step explanation:

What is the factored form of 125x6 – 8? (5x2 – 2)(25x4 – 10x2 – 4) (5x2 – 2)(25x4 – 10x2 4) (5x2 – 2)(25x4 10x2 4) (5x2 – 2)(25x4 10x2 – 4).

Answers

Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

What is a factor?

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function, we need to take the common terms out from the expression,

[tex]f(x)=125x^6-8[/tex]

The given function can be written as,

[tex]f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3[/tex]

Now, we will use the algebraic property to solve the function.

[tex]f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)[/tex]

Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

Learn more about Factors:

https://brainly.com/question/6810544

Answer:

C

Step-by-step explanation:

Fill in the blank with the correct term or number to complete the sentence : a fraction is written in simplest form when the GCF of the numerator and the denominator is

Answers

Answer:

A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.

Step-by-step explanation:

if both still shared common factors you could keep reducing the fraction

In Exercises 25–28, the red figure is the image of the
blue figure after a dilation with center C. Find the
scale factor of the dilation. Then find the value of
the variable.

Answers

Dilation involves changing the size of a shape

The scale factor is 2, and the value of the variable is 6

How to determine the scale factor

From the figure, the scale factor is the quotient of the red figure and the blue figure.

So, we have:

[tex]k = \frac{28}{14}[/tex]

Divide

[tex]k = 2[/tex]

The value of the variable (n) is then calculated as:

[tex]n * k = 12[/tex]

This gives

[tex]n * 2 = 12[/tex]

Divide both sides by 2

[tex]n = 6[/tex]

Hence, the scale factor is 2, and the value of the variable is 6

Read more about dilation at:

https://brainly.com/question/3457976

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