The moon's orbit around the Earth is elliptical with the Earth at one focus and with eccentricity 0.0059. If the distance between the moon and Earth at the closest point is 363 300 km, determine the distance at the farthest point. Round to the nearest 100 km.

367600km

Step-By-Step Explanation

Planets, moon and satellites follow elliptic orbits..

The Apogee (A), and Perigee(P) is related to the semi-major axis(a) of the ellipse and its eccentricity by the equations:

A=a(1+e)  ……(1)

P=a(1−e)   ……(2)

The closest distance Perigee, P=363 300 km

Eccentricity, e = 0.0059.

From Equation 2,

Using a=365456.19km in Equation (1)

The furthest distance,  

∠cbe and ∠deb are same-side interior angles.

i took the test

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: