We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:
From the figure we can see that the tangent can be expressed as:
We can start then from tan(t) and will try to arrive to -tan(-t):
We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
Answer:
(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)
Step-by-step explanation:
We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)
Answer:
(x-6)^2
Step-by-step explanation:
Hope this helped
S=d/t ⇒d=s*t
s=speed
d=distance
t=time
The first train :
d=x
x=70 miles/h*t ⇒ x=70t (1)
The second train
d=360 miles - x
360 miles - x=80 miles/h*t ⇒360-x=80t ⇒ x=360-80t (2)
therefore, with the equations (1) and (2) we have a systeme of equations:
x=70t
x=360-80t
we can solve this system of equations by equalization method.
70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4 (≈2 hour 24 minutes)
Answer: the first train meet with the second train in 2 hour 24 minutes.
