An equation of the form ax2 + bx + cy2 + dy + e = 0 where aa and cc have opposite signs might represent a
hyperbola.
a. apply the process of completing the square in both xx and yy to convert the equation
9x2 − 36x − 4y2 − 8y − 4 = 0 to one of the standard forms for a hyperbola: (x−h)2 / a2 − (y−k)2 / b2 = 1 or (y−k)2 / b2 − (x−h)2 / a2 = 1.
b. find the center of this hyperbola.
c. find the asymptotes of this hyperbola.
d. graph the hyperbola

Np4=12np2 with clear explanation.

(least common multiples) the answer that i had in the 1st step was lcm of airline tickets sold=72. idk if that even matters but just in case. ! three co-workers are busy selling airline tickets over the phone. in an 8-hour day, charles can sell 8 airline tickets, ann can sell 9 airline tickets, and michelle can sell 6 airline tickets. step 2 of 2: what is the smallest number of 8-hour days needed for each of them to achieve the same number of sales? it takes charles . it takes . it takes .

Nick has box brads. he uses 4 brads for the first project. nick let’s b represent the original number of brads and finds that for the second project, the number of brads he uses is 8 more than half the difference of b and 4. write an expression to represent the number of brads he uses for the second project.