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.
An example of a location on Earth where convergent plate boundaries is the Washington Oregon coastline of the United States.
<h3>What is a convergent plate?</h3>
It should be noted that the convergent plate boundary is the location where the lithospheric plates are moving towards another.
In this case, an example of a location on Earth where convergent plate boundaries is the Washington Oregon coastline of the United States.
Learn more about convergent boundary on:
brainly.com/question/18981564
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This question is incomplete because it lack the picture of the map. Please find attached to this answer the picture of the map.
Answer:
Brazil is experiencing a drought.
Explanation:
From the map attached to this answer, we can see that Brazil is experiencing drought. The reason for this answer is because on the map we are given keys that come in the different colours and this colours represents the centimeters of rainfall that is experienced by areas in South America.
For Brazil, key colour there is white in colour and this indicates that Brazil is experiencing a minimal rainfall of 25 cm or rainfall. This is very low compared to other areas and it is a major indication of drought.
Droughts can be defined a very long time frame or period whereby there is little or no form of rainfall or precipitation in a particular area.
This minimal or lack of rainfall causes the lack of moisture in the Earth crust and this causes the Earth crust to dry up to the extent that we see cracks and patches on the ground.
Drought can also be caused by very extreme and hot weather conditions. This causes major sources of water such as ponds, streams to dry up.
Protecting the biodiversity of the environment and salvaging ecoregions I think ensures sustainable human progress and prosperity and ensuring the earth is protected from degradation and over cultivation and pesticides also ensures that hunger and poverty will be alleviated and more emphasis needs to be put on renewable resources which will also provide jobs.
B. salt and minerals build up in the water over time
