What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Listamos los lados faltantes a continuación:

El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.

A continuación, procedemos a resolver cada caso:

1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]

[tex]c = \sqrt{a^{2}+b^{2}}[/tex]

[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]

[tex]c \approx \sqrt{34}\,cm[/tex]

2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]

[tex]z = \sqrt{x^{2}-y^{2}}[/tex]

[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]

[tex]z \approx 5.098\,cm[/tex]

3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]

[tex]p = \sqrt{n^{2}-m^{2}}[/tex]

[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]

[tex]p = 5\,cm[/tex]

4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]

[tex]l = \sqrt{m^{2}+s^{2}}[/tex]

[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]

[tex]l\approx 3.680\,cm[/tex]

Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

You can learn more about proportions at https://brainly.com/question/24372153

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Answer:

3. non linear

4. weak

Step-by-step explanation:

3. it doesn't go in a line

4. it's a weak association.

384 +37289 x 638203

then you will get the calculation

Answer:

its option c i believe

Jane is 8 13/40 inches tall

Given the following:

If Nancy is 1 3/8 inches taller than Matt, hence;

if Jane is 1 1/5  inches taller than Nancy, then the height of Jane will be;

Hence Jane is 8 13/40 inches tall

Learn more on sum here: https://brainly.com/question/2929160

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

Therefore, Length of side a is 5 units ~

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

Answer:

You are filipino or not I need filipino women

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

Answer:

6 tons

Step-by-step explanation:

450x12=5,400

550x12=6,600

5,400+6,600=12,000 lbs.

12,000 ÷ 2,000=6 tons

Answer:

y = -2x + 5

Step-by-step explanation:

Slope = -2

m = slope

y-intercept = 5

b = 5

y = mx + b

y = -2x + 5

Answer:

7

Step-by-step explanation:

all sides in equilateral triangle are equal so side to the bottom is 56ft

base sides same in isosceles triangle so 56 = 8x

8x=56

56/8 is 7

7 (5) + 1 = 35 + 1 = 36

So, f(5) = 36

The values of "s" that belongs to the solution set must be less than 28.5

The inequality that represents the statement 4 times "s" less than 112 is expressed as;

Divide both sides of the inequality expression by 4 as shown:

4s/4 < 114/4

s < 114/4

s < 28.5

Hence the values of "s" that belongs to the solution set must be less than 28.5

Learn more on inequalities here: https://brainly.com/question/12371526

Answer:

equilateral triangle

Step-by-step explanation:

B. equilateral triangle

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

Answer

the area is 26 cm

Step-by-step explanation:

for the first part well call it box C box c is 2 cm by 1 cm the area of that box is 2 because 2 x 1 =2

for box B which is 2 cm by 6 cm because you add the 3 on the bottom to the 3 on the top so box B = 12

for box A  it is 3 by 4 so that would be 12

you add the results together 12+12+2=26cm

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

-3 + -2 + -4 = -9

the total is -9

Answer:

ellie is 2 and genya is 58, explanation in picture attached

Answer:

0.05

Step-by-step explanation:

hope this helps! :D

you have a miraculous everybody!! <3

Answer: 0.50

Step-by-step explanation:

The ^-2 means to move the decimal 2 times to the left.

5 * 0.10 = 0.50

The answer is 2.5 cm.

Sorry if I am incorrect

Answer: P = 36.11111

Step-by-step explanation:

Formula: P = I / (RT)

65 / (.02*9)

(.02 is the decimal form of 2%)

65 / 1.8 = 36.111111111

P = 36.111111 (Unsimplified answer)

Correct me if it is incorrect.

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.