Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Answer:

Option 4

Step-by-step explanation:

3x(x+2)-4(x+2)

(3x-4)(x+2)

3x²+6x-4x-8

3x²+2x-8

Brainliest please

Answer:

(x + 2)(3x - 4)

3x^2 + 2x - 8

Step-by-step explanation:

Factor out x + 2.

You get: (x + 2)(3x - 4)

Now multiply it out:

(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8

Answer:

[tex]a = 3\sqrt{7}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine (a)

To do this, we make use of Pythagoras theorem.

[tex]12^2 = a^2 + 9^2[/tex]

[tex]144 = a^2 + 81[/tex]

Collect like terms

[tex]a^2 = 144 -81[/tex]

[tex]a^2 = 63[/tex]

Take square roots

[tex]a = \sqrt{63}[/tex]

Expand

[tex]a = \sqrt{9*7}[/tex]

Split

[tex]a = \sqrt{9}*\sqrt{7}[/tex]

[tex]a = 3\sqrt{7}[/tex]

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2

Answer:

Yes

Step-by-step explanation:

As long as no x values repeat it is considered a function

In the given set no x values repeat therefore it is a function

Answer:

Yes.

Step-by-step explanation:

Each input has exactly one output. Therefore, this is indeed a function.

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

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hope it helps...

have a nice day!!

The answer is:

999^3 = 997002999

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

I would answer but I have no numbers to give the answer

Answer:

3x - 4

Step-by-step explanation:

(6x^2 − 8x) ÷ (2x) =

(6x^2)/2x - 8x/2x =                 

3x - 4

Answer:

(C). 3x - 4

Step-by-step explanation:

It will be easily to break this down so,

6/2=3

x^2/x=x

therefore, 6x^2/2x = 3x

Minus stay minus

8/2 = 4

x/x=1

therefore, 8x/2x=4

If we put it all together,

3x - 4

if this helps you, please give brainliest!

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Answer:

no

Step-by-step explanation:

because it's unequal

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

Answer:

The 24,003 is the fastest

Answer:

Median = 44

Step-by-step explanation:

Arrange the data in ascending order:

36, 37, 40, 43, 44, 49, 50 , 51, 56.

Choose the number in the middle.

Median = 44

Slope is 0.75 or 3/4 I believe!

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Answer and Step-by-step explanation:

Solve for the middle side, then  for x using Pythagorean Theorem.

[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.