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.
Discharge data from stream gauges are the most important data for studying the potential for flooding along a river for several decades into the future.
Move level (or water level) and streamflow (or discharge) are measured at locations called streamflow gaging stations. The stage is measured and recorded continuously by means of electronic devices.
Discharge, that's every now and then known as streamflow or water drift, is described because the charge at which an extent of water passes with the aid of a selected place. Discharge and gage peak are associated values.
It's far crucial due to its impact on water exceptional and on the dwelling organisms and habitats in the stream. large, unexpectedly flowing rivers can receive pollutants discharges and be little affected, while small streams have less capability to dilute and degrade wastes.
Learn more about flooding here brainly.com/question/12686086
#SPJ4
The correct answer is:
B) continental shelf, abyssal plain, mid-ocean ridge.
Absolute Location Is The Absolute location Of A Place Using Cordinates
Relative Location Is Locating A Place By Describing The Surrounding Of The Place eg:I Live BEHIND WALLMART.
