What is the purpose of a soliloquy? what effect does it have on the audience? does it affect the other characters in a play? why or why not? your answer should be at least 150 words.

Find the center and the radius of the circle with the equation: x^-2x+y^2+4y+1=0

Look at this dictionary entry: realize (ree-uh-lyz) v. to become completely aware of (something) as a fact; understand without a doubt to make (something desired or anticipated) occur to give real, definite or physical form to a plan, dream, or goal to earn (money or a profit) from a deal which sentence uses the word realize as it is described in the fourth definition? a. mike realized the gravity of the situation only when dalia explained it to him. b. only hard work and perseverance can people realize their dreams. c. he felt that his vision was realized when he finished reading the final draft of the narrative. d. fay's glass paintings are expected to realize a handsome profit. e. dan will realize his goal of going to an ivy league school only if he works hard.

Which statement contains an opinion? the ants serve to protect the acacia from other plants and herbivores. the acacia depends on pollinators for the exchange of genetic material. the acacia has no chemical defenses to discourage herbivores. the ants provide the acacia with the best protection from other plants and herbivores.