Remark
We have to assume that there are only 3 consecutive integers.
Givens
Let the smallest integer = x
Let the middle integer = x + 1
Let the largest integer = x + 2
Formulas
4(x + 2)^2 - 3x^2 = 41+ 2*(x + 1)^2 Expand the brackets.
Solution
4(x^2 + 4x + 4) - 3x^2 = 41 + 2(x^2 + 2x + 1) Remove the brackets.
4x^2 + 16x + 16 - 3x^2 = 41 + 2x^2 + 4x + 2 Collect like terms on both sides
x^2 + 16x + 16 =2x^2 + 4x + 43 Subtract the left side from the right
0 = 2x^2 - x^2 - 16x + 4x - 16 + 43 Collect like terms.
0 = x^2 - 12x + 27 This factors
(x - 3) * (x - 9) = 0
x - 3 = 0
x = 3 or
x - 9 = 0
x = 9
Therefore numbers can be 3,4,5 or 9,10,11
We need to check both.
First group check.
Group One
4*5^2 - 3*3^2 = 41 + 2*4^2
4*25 - 3*9 = 41 + 2*16
100 - 27 = 41 + 32
73 = 73
Group one is correct.
Group Two
4*11^2 - 3*9^2 = 41 + 2*10^2
484 - 243 = 41 + 200
241 = 241 and the second group checks as well. So thee are two sets of answers.
3,4,5 and 9,10,11 <<<<<< Answer.
Note: You should put this in math.
As we know the Earth is on a tilt. So when Earth revolves around the sun we rotate also. Making it so that as we spin, one hemisphere will get the most sunlight. Therefore that hemisphere will have summer at that time. So for example say that the Northern hemisphere is getting the most sunlight right now, so that hemisphere is now going to have summer. While the Northern hemisphere has summer that means that the Southern Hemisphere is having winter. But also as we rotate then at one time the Northern will have fall and the southern will have spring. Or visa versa. Climate mostly moves with the sunlight and depends on the area.
Hurricane:ocean thunder: rain
Answer:
Corruption
Explanation:
An abundance of natural resources don't always equate to wealth. Japan for example has few natural resources but is high in human capital.
Countries with gold mines might not be the richest possibly because of corruption, exploitation, and conflict.
This video might be of some help to you: "Why Some Countries Are Poor and Others Rich"
