Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±1/3.x.
a. y squared over 144 minus x squared over 16 = 1
b. y squared over 16 minus x squared over 36 = 1
c. y squared over 16 minus x squared over 144 = 1
d. y squared over 36 minus x squared over 4 = 1

a

Step-by-step explanation:

u can thank me later

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is