The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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Answer:
the answer is 0.98
Step-by-step explanation:
if it not correct plz correct me
Answer:
Step-by-step explanation:
Given that:-
The speed of the orion= 20,000 miles per hour
Time = 1 hour ( From source )
Thus,
Distance = Speed * Time = 20,000*1 miles = 20,000 miles
Thus, in 1 hour, the orion can travel 20,000 miles
Also,
93,000,000 miles = 1 astronomical unit
1 mile = 1/93,000,000 astronomical unit
20,000 miles = (1/93,000,000)*20,000 astronomical unit
<u>The orion can travel 
AU in one hour.</u>
Answer:
31
Step-by-step explanation:
