General equation of Ellipse centered at (h,k) is given as
where a is the radius along x-axis
and b is radius along y-axis.
Given : The equation of elliptical path of Earth as
Comparing the equation with the general equation, we get
(h,k) as (-2.5,0)
a =
b =
We have the Sun located at the coordinate (0,0).
Hence, the distance between Sun and Earth in July = 149.5 + 2.5 =152
∴ Earth's distance from the Sun in July is 152 million kilometers.
Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is
Since you pay $15 per four, plus the fee. We can solve this equation for the fee:
If we plug c=195 and h=9, we have
Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is
Using distance formula, the distance between two points (1, 4) and (5, 2) is
Round to the nearest tenth of a unit.
Therefore, the distance between two artifacts is 4.5 units.