Chose the three ways the European Union has shown cooperation among its member nations.

Mutual peacebuilding, economic cooperation, mutual respect.

Explanation:

After the Second World War, an initiative was launched to unite European countries. It was an effort to prevent future internecine wars. History has brought many wars between Europeans, but after unification, this was no longer the case.

The European Union countries have excellent economic cooperation with each other, which implies many benefits. The European Union residents use the same Euro Coin and are free to travel and shop in other countries. Residents can also easily look for work and a work permit in other EU countries. Therefore, the European Union provides business opportunities and economic benefits.

The European Union uses the term "United in Diversity." This implies cooperation and mutual respect regardless of any differences between people.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7