1. Two ranger stations spot a fire (point F). Station A measures the angle between the fire and station B and gets an angle of 72. Station B measures the angle between the fire and station A and gets an angle of 66. If the two stations are 2500 feet apart, how far is the fire from station A? ​

Hello from MrBillDoesMath!

See Discussion below

Discussion:

A function f is even if f(-x) = f(x)

f(x)                               f(-x)                                  Are they equal?

-x^8 + 2x^6-5x           -(-x)^8 + 2(-x)^6 + 5x         No

3 abs(x) - 4                 3 abs(-x) -4                       Yes

log5 x^2                     log5 (-x)^2                        Yes

(6x)^ (1/7)                     (-6x)^(1/7)                          No

e^(x^2-x)                     e^( (-x)^2+x)                      No

(x^8 +5x^2)^(-1)           ( (-x)^8 + 5 (-x)^2) ^(-1)      Yes

Answers with Yes, above are even functions.

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!