Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
a. We can parameterize
by


with
. Then

b. We can parameterize the opposite direction by instead setting


with
. Then

which gives the same value as in part (a).
Answer: 37.5
Step-by-step explanation:
15 15 3
___ = ___ = ___ = 0.375 = 37.5
15+25 40 8
To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)