The foci and the vertices of the hyperbola are labeled.

Which equation represents the hyperbola?

+ + + + +

-22-20-18-15-14-12 10 -8 -6 -4 -2,1

+

2

+

4

6

8

10 12 14 16 18

x

o (* ?y? - (V44)? = 1

0 (x + 2)2 – (V+432 = 1

O (Y) = 1

0 (x-2) - (V=432 = 1

(-12,-4)

(-10,4)

(6-4)

(8,-4)

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle. he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field