# SOLUTION: Which of the following is an equation of one of the asymptotes of the hyperbola: 3x2-3y2=48? x-y=0 3x-3y=0 y-3x=0 x+27y=0

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Which of the following is an equation of one of the asymptotes of the hyperbola: 3x2-3y2=48? x-y=0 3x-3y=0 y-3x=0 x+27y=0       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 373977: Which of the following is an equation of one of the asymptotes of the hyperbola: 3x2-3y2=48? x-y=0 3x-3y=0 y-3x=0 x+27y=0 Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!Which of the following is an equation of one of the asymptotes of the hyperbola: First we must get the equation in either the form or . Either way we get a 1 on the right side by dividing every term by 48. Comparing to , we see that aČ=16 and bČ=16 and so a=4, b=4 The defining rectangle is then: So its extended diagonals are the asymptotes: And they have slope ±1 and pass through the origin so their equations are y = x and y = -x In standard form these are x-y=0 and x+y=0 x-y=0 is one of the choices. But I notice that there is also the choice 3x-3y=0, which is equivalent to x-y=0. So either of these would technically be correct. Edwin
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}