Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
Remember that for a function of the form

, a parabola, the focus will be:

.
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find

using the focus of the parabola:




Now, the only thing left is replacing the value of

in our equation

:

We can conclude that the equation that represents the path of the comet is
Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 2, 4 ], thus
f(b) = f(4) = 16 ← corresponding value of y from table
f(a) = f(2) = 4 ← corresponding value of y from table , thus
average rate of change =
=
= 6 → A
Answer:6 minutes.
Step-by-step explanation:360 divided by 60 is 6.