Pre-Calculus Homework Solutions 75

Pre-Calculus Homework Solutions 75 - 3 4x 23 2x y 4 y 2x 4...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
23. 2 x y ¬ 4 y ¬ 2 x 4 y ¬ 2 x 4 First, write an equation of a line p perpendicular to the lines y 2 x 3 and y 2 x 4. The slope of p is the opposite reciprocal of 2, or 1 2 . Use the y -intercept of the line y 2 x 3, (0, 3), as one of the endpoints of the perpendicular segment. y y 1 ¬ m ( x x 1 ) y ( 3) ¬ 1 2 ( x 0) y 3 ¬ 1 2 x y ¬ 1 2 x 3 Next, use a system of equations to determine the point of intersection of the line y 2 x 4 and p. 2 x 4 ¬ 1 2 x 3 2 x 1 2 x ¬ 3 4 5 2 x ¬ 7 x ¬ 1 5 4 y ¬ 2 1 5 4 4 y ¬ 8 5 The point of intersection is 1 5 4 , 8 5 . Then, use the Distance Formula to determine the distance between (0, 3) and 1 5 4 , 8 5 . d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ 1 5 4 0 2 8 5 ( 3) 2 ¬ 1 5 4 2 7 5 2 ¬ 1 2 9 5 6 4 2 9 5 ¬ 2 2 4 5 5 or 9.8 The distance between the lines is 9.8 units. 24. 3 x 4 y ¬ 20 4 y ¬ 3 x 20 y ¬ 3 4 x 5 First, write an equation of a line p perpendicular to the lines y 3 4 x 1 and y 3 4 x 5. The slope of p is the opposite reciprocal of 3 4 , or 4 3 .
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern