35x=245
so you would divide both sides by 35
x=7
so it would take her 7 weeks or 1 month and 3 weeks to pay her friend back
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
It's the right angle. The circumcenter is in half of hypotenuse.
The formula of a midpoint of segment BC:
We have the points B(-2, -2) and C(7, -5). Substitute:
Answer: (2.5, -3.5)
