The path that a satellite travels around Earth is an ellipse with Earth at one focus. The length of the major axis is about 16,000 km, and the length of the minor axis is about 12,000 km. Write an equation for the satellite's orbit.

The answer to your question is            

Step-by-step explanation:

Data

Ellipse

mayor axis = 16,000 km

minor axis = 12,000 km

Process

1) Calculate a and b

Mayor axis = 2a

       16,000 = 2a

       a = 16,000/2

       a = 8000

Minor axis = 2b

       12,000 = 2b

        b = 12,000/2

        b = 6000

2.- Equation of an ellipse

Center = (0, 0)

-Substitution

-Simplification

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)