Answer:
-3 times -2 is 6 not -6
Step-by-step explanation:
Thats where he messed up
My answer: $2000 were invested at 5%
Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%
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:
C
Step-by-step explanation:
1. Conan needs 4 hours to rehearse and host a good show. Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.
2. Conan writes one usable joke in an hour, Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.
Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.
Correct option is option C.
