1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
6

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =

80) Multiply the first and last numbers. (e.g. 6 x 12 = 72) Now subtract your second answer from the first. (e.g. 80 - 72 = 8) Try it with your own numbers. Why is the answer always 8?
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

Step-by-step explanation:

let the consecutive even numbers be  2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

=8

You might be interested in
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Mademuasel [1]

We are given the function:

g(x) = 6 (4)^x

 

Part A.

To get the average rate of change, we use the formula:

average rate of change = [g(x2) – g(x1)] / (x2 – x1)

 

Section A:

average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) = 18

 

Section B:

average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) = 288

 

Part B.

288 / 18 = 16

Therefore the average rate of change of Section B is 16 times greater than in Section A.

 

<span>The average rate of change is greater between x = 2 to x = 3 than between x = 1 and x = 0 because an exponential function's rate of change increases with increasing x (not constant).</span>

8 0
3 years ago
Why do I think I'm ugly
Tanya [424]

Answer:

Ok listen here

Step-by-step explanation:

You are like the earth.

On the inside is a bright center and lava. When lava comes to the surface as a volcano, many people think it's ugly and dangerous, but other people think that it's beautiful.

We all know that a lot of people think the surface of the earth is ugly, and they have given up hope that people can change it, but the truth is that, the world is beautiful and we can change it.

You are beautiful and the people on your earth are represented as your brain. Your brain needs to tell you to look at yourself and to say that you are beautiful. You can change your mindset to tell you that you don't care what other people say, all that matters is what you say.

Always remember that :)

7 0
2 years ago
Read 2 more answers
Find the value of x.
alukav5142 [94]

Step-by-step explanation:

The sum of the three angles in a triangle must be 180. Since this triangle has a right angle, we know that it is 90°, so the sum of the remaining two angles must be 90.

We can set up an equation for the two remaining angles to determine the value of x:

(x + 28) + x = 90

2x + 28 = 90

2x = 62

x = 31

8 0
3 years ago
Read 2 more answers
Y=x-7<br> Y=-4x-2<br> Solve by substitution help please
wlad13 [49]

Answer:

(1, - 6 )

Step-by-step explanation:

Given the 2 equations

y = x - 7 → (1)

y = - 4x - 2 → (2)

Substitute y = x - 7 into (2)

x - 7 = - 4x - 2 ( add 4x to both sides )

5x - 7 = - 2 ( add 7 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 into (1)

y = 1 - 7 = - 6

Solution is (1, - 6 )

6 0
3 years ago
Read 2 more answers
A sport arena covers 710,430 square feet of ground a news paper reported that the arena covers about 700,000 square feet of grou
n200080 [17]
700,000 is your final answer so the number was rounded to the hundred thousands value/place.
4 0
3 years ago
Other questions:
  • Tanisha plants 2/3 of her garden with flowers.She covers 1/4 of this part of the garden with roses.What part of her whole garden
    7·1 answer
  • Which has gradient -1/2 and cuts the y-axis at 4​
    11·1 answer
  • The bottle of juice says that has three times as much orange juice is apple juice. If the bottle contains 64 fluid ounces, how m
    13·1 answer
  • The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviat
    13·1 answer
  • Tommy had 3 packs of bubble gum. Each pack has 5 pieces in it. How many peices of bubble gum does Tommy have a total of?
    11·2 answers
  • Eric has been donating books he no longer needs to his local library. After 3 months of donating, he had 157 books left in his r
    9·2 answers
  • Write the value of the digit 5 in this number:178.25<br>I​
    6·1 answer
  • The width of a rectangle, in feet, is represented by (3x-1.5). The length of the rectangle, in feet, is represented by (1.25x+3)
    12·1 answer
  • The diagram shows a triangle.
    7·1 answer
  • Justin is making cookies, using a recipe in which the ratio
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!