An engineer is designing a bearing with a groove having edges in the shape of a hyperbola. A coordinate system has been set up with each unit representing one millimeter. The closest the bottom of the groove comes to the center of the bearing on the coordinate system is 16 millimeters. If the groove has edges that follow the asymptotes y=2.5x and y=−2.5x, find an equation for the hyperbola that can be used to model the edges of the groove.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

what chart am i supposed to follow?

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns

my best guesses would have to be either 4.5 or 2. p.s. if they're wrong, i'm so sorry for giving you the wrong answer.