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
#SPJ1
Hello!
To solve this you have to find the ratio between the two cylinders
Cylinder 1 height is 30
Cylinder 2 height is 20
this is a 30:20 ratio
This can be reduced to a 3:2 ratio
Now you look for one that are also equal to 3:2
3 * 7 = 21
2 * 7 = 14
The answers are 3:2 and 21:14
Hope this helps!
Step-by-step explanation:
• y2 → -1
• y1 → 5
• x1 → 4
• x2 → -3
Answer:Third one
Step-by-step explanation:
1. 6
2. 6/60=1/10
3. 12
4. 24/2=12
5. 6/4=3/2= 1 1/2
6. 1
7. 7.5= 7 whole servings
