Add the two complex numbers 6 + 7i and 10 + 2i

Answers

Answer 1

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

  [tex]\bold{Hello~}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

1.) [tex]6+7i[/tex]:

✺ The modulus of a complex number is:

[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]

✺ The modulus of [tex]6+7i[/tex] is:

[tex]\sqrt{85}[/tex] ≈ [tex]9.219544457[/tex]

2.) [tex]10 + 2i[/tex]:

✺ The modulus of a complex number is:

[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]

✺ The modulus of [tex]10 + 2i[/tex] is:

[tex]2\sqrt{26}[/tex] ≈ [tex]10.198039027[/tex]

3.) [tex]6+7i+10 + 2i[/tex]:

✺ Combine the real and imaginary parts in [tex]6+7i+10+2i[/tex]:

[tex]|6+10+(7+2)i|[/tex]

✺ Do the additions in [tex]6+10+(7+2)i[/tex]:

[tex]|16+9i|[/tex]

✺ Solve the complex modulus using the formula:

[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]

✺  The modulus of [tex]16+9i[/tex] is:

[tex]\sqrt{337}[/tex] ≈ [tex]18.357559751[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

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Answer:

73 degrees

Step-by-step explanation:

So first, since there are two lines that are parallel, and there is a transversal, angle a and angle b are supplementary due to same side interior angles.

Next, we make an equation: 6x-35+3x+53=180, and after that you come up with 9x+18=180. Put the numbers on one side and the variables on one side, and since you put 18 on the other side, you have to change it to -18. 180-18= 162.

9x=162. In conclusion, x=18. And to find angle a, plug x in. Therefore, the final answer is 73 degrees

In fig if x+y=w+z then prove that AOB is a line.​

Answers

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

(linear pair.)

According to the question,

x+y+w+z=360

∣ Angles around a point.

(x+y)+(w+z)=360

(x+y)+(x+y)=360

∣ Given x+y=w+z

2(x+y)=360

(x+y)=180

Hence, x+y makes a linear pair.

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Answer:

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Answers

Answer: 77 :)

Step-by-step explanation:

Answer:

3*72-139

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77

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Answers

Answer:

Parallel

Step-by-step explanation:

mjk=-1

mlm=-1

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Answers

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Step-by-step explanation:

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Answers

Answer:

A literal equation is an equation that consists of multiple variables or letters.

A linear equation is an equation that consists of one variable

Step-by-step explanation:

Literal EX:

a = 1/2h(a + b)

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Linear EX:

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Answer:

So A literal Equation is practically made up of all letters ( also known as variables) So to answer one you have to try an isolate the variable for example    * ax + b = c * You want to isolate * x *. You aren't trying to solve for x like you would for any other equation. You then have to do inverse operations. Below I have added a screenshot picture because I have done an example for you so that you can better understand what I'm explaining. I hope this helps you! :)

Step-by-step explanation:

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Answers

Answer:

x=4b/3

Step-by-step explanation:

Simplify 4(x - b) = x

Then Move all terms containing x  to the left side of the equation.

so -4b+3x=0

Add 4b to both sides of the equation.

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Answers

Answer:

$3.00

Step-by-step explanation:

7.50/5 = 1.5

12/8 = 1.5

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

[tex]\boxed {r = \frac{31}{3}}[/tex]

Step-by-step explanation:

To find the value of [tex]r[/tex], write an expression by using the following measurements of both [tex]\overline {DG}[/tex] and [tex]\overline {GM}[/tex], then you solve for [tex]r[/tex]:

[tex]\overline {DG} = r + 3[/tex]

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Step-by-step explanation:

Answer:

2

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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