Which statement best explains the nuance between ardent and willing?

Consider the quadratic equation ax^2+bx+5=0,where a, b and c are rational numbers and the quadratic has two distinct zeros.if one zero is irrational what is the other zero?

Proofread this excerpt from a review of the film tangled. what type of errors does it contain? walt disney studios is back with another delightful film sure to entertain children and adults alike, hat’s off to the writer and director of this charming little endeavor. they have effectively managed to breathe new life into an old classic: by giving rapunzel's tale a fresh twist, instead of the meek and rapunzel of the original disney story; this retelling gives us a spunky and assertive heroine ready to take command of her own life. a. mixed-up tenses b. incorrect verb usage c. spelling errors d. punctuation errors

If chopin were your music teacher, what techniques would he probably expect you to develop and practice? use details and information from the passage to explain your answer.