Find the vertices and foci of the hyperbola with equation quantity x minus 5 squared divided by 144 minus the quantity of y minus 4 squared divided by 81 = 1. a. vertices: (14, 4), (-4, 4); foci: (-4, 4), (14, 4) b. vertices: (17, 4), (-7, 4); foci: (-10, 4), (20, 4) c. vertices: (4, 17), (4, -7); foci: (4, -10), (4, 20) d. vertices: (4, 14), (4, -4); foci: (4, -4), (4, 14)

The vertices: (17, 4), (-7, 4); Foci: (-10, 4), (20, 4) of the hyperbola.

The correct option is B.

Given

The equation represents the hyperbola;

The standard equation of hyperbola can be represented as;

Where h and k are the centers of the hyperbola.

Converting the equation into standard form hyperbola;

Then,

The value of c is;

Therefore,

The vertices and foci of the hyperbola are;

Hence, the vertices: (17, 4), (-7, 4); Foci: (-10, 4), (20, 4) of the hyperbola.

To know more about Hyperbola click the link given below.

link

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

answer: 414,377,008

step-by-step explanation:

just multiply it