Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then
Add these two equations:
and subtract first equation from the second:
Note that thus
The equation for the planet's orbit is
M/ y = 2x + 4
y/ y = 1x - 1
l/ is a zero slope
p/ is a undefined slope
Answer:
1
Step-by-step explanation:
61.26=61
59.593=60
61-60=1
Answer:
The dimensions of the pavilion are:
y=length= 45 ft.
x= width= 15 ft.
And the varable expression for the area of the walkaway is:
Step-by-step explanation:
1. Let be y= length and x= width of the dining pavilion.
2. Then we have that y=3x and the dining´s area is:
3. The walkway is 3ft wide around the pavilion, it means that its area will be:
Where is a variable expression for the area of the walkaway.
4. We have that the total area to cover for the stones is 396 ft^2 then matching:
[tex]396=36+24x\\396-36=24x\\360=24x\\x=\frac{360}{24}\\ x=15 ft (wide of the pavilion)\\ y=3x\\y=3*15\\y=45 ft.
And y=length of the pavilion