SAT Exam  >  SAT Questions  >  In the xy-plane, the graph of the line y = 15... Start Learning for Free
In the xy-plane, the graph of the line y = 15/4 intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?
  • a)
    3/2
  • b)
    5/2
  • c)
    15/4
  • d)
    4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the xy-plane, the graph of the line y = 15/4intersects the graph of...
Given equation: y = x2 + x
Substitute y =15: 15/4 = x2 + x
Multiply by 4: 15 = 4x2 + 4x
Subtract 15: 0 = 4x2 + 4x - 15
Factor using the Product-Sum
Method: 0 = (2x + 5)(2x - 3)
Use Zero Product Property: 2x + 5 = 0; 2x - 3 = 0
Solve each equation for x: x = -5/2; x = 3/2
Therefore, the two points of intersection are and and the distance between these points is 
Explore Courses for SAT exam
In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer?
Question Description
In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT. Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
Here you can find the meaning of In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the xy-plane, the graph of the line y = 15/4intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?a)3/2b)5/2c)15/4d)4Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SAT tests.
Explore Courses for SAT exam

Top Courses for SAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev