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

$\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.$

Add these two equations:

$2a=1,558,000,000 \\ \\a=779,000,000$

and subtract first equation from the second:

$2c=76,000,000 \\ \\c=38,000,000.$

Note that $b=\sqrt{a^2-c^2},$ thus

$b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.$

The equation for the planet's orbit is

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.$

7 0

3 years ago

What would the equation be? I give brainliest if correct

shusha [124]

Answer:

It is A because if x=1 the y goes more than 1 but is at 1/2 and it would be 3/2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

H=2.9L+78.1<br> About how tall would the male have been if the length of the humerus measured 39 cm?

dalvyx [7]

Answer:H=191.2

Step-by-step explanation:

H=2.9(39)+78.1

H=113.1+78.1

H=191.2 cm

3 0

3 years ago