Which "doctrine" was used widely by baroque composers to create emotions in their works? a. doctrine of word painting. b. doctrine of humanism. c. doctrine of expression. d. doctrine of the affections

The correct answer is D. Doctrine of the Affections

Explanation:

In terms of music, the Baroque was a historical period between the 17th and the 18th century considered as the period of classical music that included famous compositors such as Antonio Vivaldi, Johann Sebastian Bach, and Claudio Monteverdi. Moreover, the work of the Baroque compositors was influenced by a theory called the "Doctrine of the Affections", this theory proposed emotions, feelings, and passions could be represented through sounds including emotions such as love, hatred, joy or desire and the combination of these emotions. In this way, the Baroque use the theory to create emotions by including different musical features, for example, sadness was represented with small or short intervals. Considering this, it can be concluded the doctrine that was used widely by the Baroque composes to create emotions was the "Doctrine of the Affections".

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

rain should be the answer.