1- The terrestrial lithosphere is composed almost of 80% by igneous rocks, they are also known as magmatic rocks and are formed at high temperatures due to magma solidification, they come from the superior mantle and terrestrial coast. Its texture is super resistant with significant hardness to obtain minerals and other derived materials. They can be divided into extrusive and intrusive.
2- Through experiments, Bowen has defined a sequence of mineral formation when a magma begins to cool. There are two types of magmatic differentiation defined by Bowen, the continuous series and the discontinuous series. In the continuous series the internal structure of the magma is not altered and all minerals have iron and magnesium, they are formed: aluminum, silica and sodium and calcium.
In the discontinuous series decreasing the temperature reacts the previously formed mineral with the existing liquid, and thus a new mineral with different internal structure and composition is formed. They are formed: olivine, pyroxena, amphibole and biotite.
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.
Answer:
He attacked Carthage's possession in Spain - New Carthage, which led Hannibal to withdraw his troops from Italy and to send them to Carthage as he was afraid that Scipio will attack Carthage directly.
Explanation:
After the battle of Cannae it looked like Hannibal had Romans in his hands. But, he refused to attack Rome directly, which was used by Romans to produce counterattack.
Therefore, Scipio decided to attack New Carthage to make Hannibal turn his attention from Italy.
After this Scipio attacked Hannibal in Carthage and heavily defeated him in the battle of Zama.
Answer:
I think b)
Explanation:
Great Zimbabwe, extensive stone ruins of an African Iron Age city. It lies in southeastern Zimbabwe, about 19 miles (30 km) southeast of Masvingo (formerly Fort Victoria).
Answer:
C
Explanation:
Sparta was known for their extreme war skills and judging by history Athens was a capital city and most of the soldiers of Greece came from Sparta I guess
