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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<h3>✒️EVALUATION </h3>
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What is the product of (2x-7) and (3x + 3)?
- A. 6x2 + 15x-21
- B. 6x2 - 15x - 21
- C. 6x2 + 15x + 21
- D. 6x2 - 15x + 21
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*Please read and understand my solution. Don't just rely on my direct answer*
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Here we have the given choices:
- A. 6x2 + 15x-21
- B. 6x2 - 15x - 21
- C. 6x2 + 15x + 21
- D. 6x2 - 15x + 21
Solve this equation using the distributive property,where you multiply each term to get the number.
Therefore, the correct option is letter B.
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If you triple the height of a barrel the dimensions will triple i belive.
Answer:
<u>10°C average temperature</u>
Step-by-step explanation:
Average Temperature = Lowest + 17
= -7 + 17
= 17 - 7
= <u>10°C average temperature</u>
Answer:
17.83in
Step-by-step explanation:
