PracticeQuiz content is free on an ad-supported model.

Unfortunately, we can't support ad blocker usage because of the impact on our servers. If you'd like to continue, please disable your ad blocker and reload page.

Reload page

SAT Prep

Category - Math

Start a Study Session Sign up for Question of the Day

Which of the points on the graph below lies on the line x/3 − y/4 = 1?

Explanation

Answer: D - Point D lies on the line x/3 − y/4 = 1. If a point lies on a line, then its coordinates satisfy the equation of the line. Point D has coordinates x = 6 and y = 4.
x/3 − y/4 = 1
6/3 − 4/4 = 1
2 − 1 = 1
1 = 1

Previous Next

Was this helpful? Upvote!

Start a Study Session Sign up for Question of the Day

Related questions

2 votes

How many numbers can be substituted in the expression (n4 + n3-n-1)/3, so that the result is a prime number?
2 votes

Was Hamlet a Hero?Hamlet is a literary work that people from all facets of life have at least heard of. This seventeenth century play encompasses the life of Hamlet, the prince of Denmark. His dramatic life is narrated throughout the pages of William Shakespeare’s play. In creating such a work, Shakespeare created a character that had the potential, power, and authority to serve as a hero among his people; nonetheless, this contradictory man seems too distraught to truly embellish and illustrate the definition of a true hero. In brief, Hamlet signifies a persona that is quite different from the typical hero. Rather than being a noble and courageous man, this prince of Denmark is unrepresentative of the admirable qualities that heroes typically reflect. Hamlet’s internal conflicts, selfish behaviors, absence of courage, and eventual surrender to death make him arguably a simple man, unworthy of the title of hero. Hamlet struggles with immense internal conflicts that create overwhelming and unbearable pain. This madness is displayed in Hamlet’s cruel response to Ophelia, a woman that he has once loved: “I have heard of your paintings well enough / God hath given you one face, / and you make yourselves another, you jig, / you amble, and you lisp,” (III, i ,144-148). Prior to this Hamlet had intentionally pursued Ophelia, but his inability to move beyond his father’s death leaves him struggling to maintain any degree of stability. Throughout the play, others seek to encourage Hamlet, but he maintains distance from those around him, brooding on the past. It is this reluctance to move beyond his father’s death that causes Hamlet to remain entrapped in a sea of internal despair that hinders the role as the hero that his ancestry intended for him to be. Rather than a hero, Hamlet is a man tortured by internal desolation. Equally important, Hamlet displays inconsistent behaviors that are contradictory to heroism. He hates partying, drinking, and dancing, as he recognizes that these attributes lead to inaction, and says to his friend Horatio: “They clepe us drunkards, and with swinish phrase, /Soil our addition, and indeed it takes, / From our achievements, though perform’d at height,/ The pith and marrow of our attribute,” (I, iv, 19-22). Certainly, the recognition that such actions do hinder progress depicts Hamlet as a wise hero, but this illustration is short-lived when Hamlet uses his strong anger towards his mother (who married his uncle Claudius soon after his father’s demise) as an excuse to reject and deny his lover Ophelia. While there are brief glimmers of heroism revealed in the behaviors of Hamlet, most actions are reflective of his inner turmoil and his inability to truly behave as a hero to those around him. Compared to the true hero, Hamlet lacks the courage needed to perform selfless actions. Instead, Hamlet is the opposite of courageous, seeking excuses to delay his killing of Claudius, even though he is taunted by reminders of his late father, who appears as a ghost to urge him to avenge his death. While Hamlet reaches the point of hating anything that defines Claudius, he never attains the courage needed to destroy the man that has symbolically destroyed him. If Hamlet were truly a hero, he would find a way to vindicate his father by following the wishes of the ghost that visits him. Instead, Hamlet remains a captive of the murder that he wants to commit but cannot find the courage to do. This is certainly representative of his non-heroic state. Similarly, Hamlet surrenders in a way that is not indicative of heroism. He feels compelled to surrender his life to destiny. While Hamlet’s ultimate recognition that he has no real control of his own life allows him to gain some resemblance of peace, it is evidence of weakness that does not embody the heroic mindset. Heroes strive for control and supremacy, which is quite the opposite of his inability to act in response to his father’s death. Rather than seeking to reflect knowledge and legacy, he allows himself to be reduced to an individual lacking the knowledge to lead and protect others. It is this absence of knowledge that makes him unable to claim the title of hero. It is Hamlet’s ultimate surrender to the world around him that leads readers to see the extent of how contrary he is to heroism. In looking at the life of Hamlet, one sees the reflection of a man that has the ancestry, the placement, and the ability to be a hero to his people. Unfortunately, he is encapsulated in a life of internal conflict that leaves him struggling to merely live, yet alone be there for others. In his quest for peace, he finds surrender to be his one confidante and friend. In examining the question, “is Hamlet a hero?” the answer lies in the conflict that remains within his inner core, his egotistical ways, the absence of bravery and his surrendering to destiny, which makes him far from heroic.What role does Ophelia play in Hamlet’s life?
2 votes

The name Jane Goodall is synonymous with chimpanzees. Having devoted her life to observing these animals in their native African homes, she has gained a plethora of information related to these primates. Ironically, Goodall was not always an animal behavioral analyst. But upon completing secretarial school she began working with well-known paleontologist, Louis Leakey, and was given her first assignment to study apes and chimps in Africa. While Dr. Leakey asserted that ancient apes were the descendants of chimps and humans, Goodall did not concur. Her research contradicted Leakey’s and he advised her to pursue her ideas. From there, Jane began to exclusively study chimpanzees and developed an overwhelming desire to spend her time in the jungles learning about these intriguing creatures.What is ironic about Dr. Leakey’s encouragement of Jane Goodall?

Most popular on PracticeQuiz

157 votes

An 8-year-old boy named Albert has a 10-year-old brother named Benny. Benny joins the service at 20 leaving Albert feeling bitter that he no longer has a brother to look up to. After 7 years, Albert is finally ready to make up with Benny who has been out of the service for 5 years. How old is Albert now? GED Exam Prep: Math
120 votes

The lymphatic system contains four organs: Medical Coding Exam Prep
79 votes

Using motivation from ‘within’ is called ______________. CPCE Exam Prep
74 votes

“A set of specialized organizational capabilities for providing value to customers in the form of services” is the official definition of: IT Service Management Foundation Practice Test
72 votes

Which are the most serious adverse effects associated with Lithium? MACE Medication Assistant Exam Prep

Ad-Blocker not supported

SAT Prep

Top questions

Related questions

Most popular on PracticeQuiz