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
Step-by-step explanation:
Total marbles = 24 + 8 + 16 + 4 = 52
Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13
Option 2 is the correct answer
Answer:
Step-by-step explanation:
Multiply across.
Then Simplify.
Answer:
7.3 miles
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3.4^2 + 6.5^2 = h^2
11.56+42.25=h^2
53.81= h^2
Taking the square root of each side
sqrt(53.81) = sqrt(h^2)
7.335529974=h
Rounding to the nearest tenth
7.3 =h
Answer:
its #3
Step-by-step explanation:
hope this helps