Find the slope and the y-intercept of the line.
6x+2y=-2

Answer:

The modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Step-by-step explanation:

Given the number

[tex]6-2i[/tex]

We know that

[tex]z = x + iy[/tex]

where x and y are real and [tex]\sqrt{-1}=i[/tex]

The modulus or absolute value of z is:

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

Therefore, the modulus of [tex]6-2i[/tex]  will be:

[tex]z=6-2i[/tex]

[tex]z=6+(-2)i[/tex]

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]

    [tex]=\sqrt{6^2+2^2}[/tex]

    [tex]=\sqrt{36+4}[/tex]

    [tex]=\sqrt{40}[/tex]

    [tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]

    [tex]=2\sqrt{2\cdot \:5}[/tex]

   [tex]=2\sqrt{10}[/tex]

Therefore, the modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Answer:

The loose sweets

Step-by-step explanation:

100 divided by 0.89 = 112

120 divided by 1.49 = 80

Answer:

Step-by-step explanation:

1.49 ÷ 120 = 0.0124 GBP per gram

0.89 ÷ 100 = 0.0089 GBP per gram < 0.01 (The price of loose sweets is better value)

Answer:

x= -2 y= -5

Step-by-step explanation:

Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2

plug-in x = -2

-6-2y = 4 y = -5

Answer:

(- 2, - 5)

Step-by-step explanation:

[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]

(2) - (1)

(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4

3x = - 6 ⇒ x = - 2

3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5

(- 2, - 5)

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Answer:

  40 seconds

Step-by-step explanation:

  (ostrich speed * seconds) + head start = (cheetah speed * seconds)

                                        44x + (44 * 60) = 110x

                                             44x + 2640 = 110x

                                                       2640 = 66x

                                                              x = 40

No. of seconds before cheetah catches ostrich = 40 seconds

Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.

Speed is directly Proportional to Distance and Inversely proportional to Time.

Speed = Distance/Time

Given,

Speed of ostrich = 44 feet per second

Speed of cheetah = 110 feet per second

Starting point is same

Ostrich got 60 second head start

Distance travelled by ostrich in 60 second = 44 × 60 = 2640 feet

let  S  be the number of seconds that it will take the cheetah to catch the ostrich

Distance covered by cheetah = 110S

Distance that  the ostrich will cover before being caught  is  2640 + 44S

According to the question

110S  = 2640 + 44S  

110S - 44S =2650

66S  =  2640  

S = 2640/66

S = 40 seconds.

Hence, It will be 40 seconds before cheetah catches the ostrich.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

Answer:

it would be (5,60)

Step-by-step explanation:

he bought 5 boxes

each box has 12 pencils

5*12=60

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62

Answer:

16

Step-by-step explanation:

PEMDAS

A = cb / c + b PLESAE GIB BARNILEST

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

Answer:

C.90

Step-by-step explanation:

1 inch = 30

30 * 3 = 90

Answer:

the last triangle

Step-by-step explanation:

the pythagorean theroem only works for right triangles. a right triangle is a triangle that has a 90 degree angle it the last one is the only one. so its d

pls mark branilest

Answer:

The answer is 75% and 75/100

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

Answer:

B, 6

I think! hope it helped

Answer:

The cost over time is a proportional relationship

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Answer:

I am grade 5 and I don't know about what it is at all. but please make me as the brainliest

Answer:

the kitchen sink faucet will fill the container faster than the bathroom faucet.

Step-by-step explanation:

I found the unit rate for both faucets in order to be able to compare them.

Kitchen faucet:

.5 gallons in 10 seconds   = 1 gallon in 20 seconds  (0.5 x 2= 1 gal, 10 sec x 2=20 seconds)

.75 gallons in 18 seconds  = 1 gallon in 24 seconds  (0.75 = 3/4     3/4 x 4/3=1 gallon, 18 x 4/3 = 24 seconds)

Answer:

4 2/3 cups of water

Step-by-step explanation:

The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.

4.

If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.

3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.

(3 1/2) / (3 1/4) = 5/x

(7/2) / (13/4) = 5/x

7/2 * x = 13/4 * 5

2/7 * 7/2 * x = 2/7 * 13/4 * 5

x = 130/28

x = 65/14

x = 4 9/14

4 9/14 as a decimal is 4.64 which is close to 4.6666...

Answer: 4 2/3 cups of water

Answer:

The total number of pencils is 6

Step-by-step explanation:

According to the given scenario, the computation of the total number of pencils is as follows:

There are 18 students

And let us assume there is m mechanical pencils that put in each bag

also he put twice of the regular pencil

So if he put the 3 mechanical pencil

So, the total number of pencils is

= 3 × 2

= 6

As it twice of the regular pencil

hence, the  total number of pencils is 6

Answer:

Step-by-step explanation:

p =  b + c/5                     Subtract b from both sides

p - b = c/5                       Put brackets around the left side

(p - b) = c/5                     Multiply by 5

5(p - b) = c

Answer:

2 gallons maybe?

Step-by-step explanation:

Answer:

60% or D

Step-by-step explanation:

Divide 100 by 30

3.333333. . .

Multiply 18 by 3.333333. . .

The answer is 60%

Hope this helped :)

Answer:

The density is the same because both cubes are composed of the same element Iron(Fe).

Answer:

I believe the large cube would be denser.

Step-by-step explanation:

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation: