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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Since the problem is not concerned about the order of choosing the captain, the concept used is the combination. From 8 players, 2 are to be chosen,
8C2
The numerical value of the combination is 28. Thus, the answer is letter B.
Answer:
20$ - the sale price
Step-by-step explanation:
take the 20$ the bat originally was and the minus it by the the sales price to get your answer. BUT YOU HAVE 2 HAVE THE SALES PRICE!!!!
Answer:
Step-by-step explanation:
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.
Answer:
A. $1,710
B. Yes, probably.
Step-by-step explanation:
Assuming that a 10% decrease in energy use leads to a 10% decrease in the electric bill:
We'll want to find the value which is 10% less than the original value, i.e., the bill cost which is 90% of the original bill.
90% = 0.9
Since the original bill was $1900, we can just multiply 1900 by 0.9:
Answer: A bill of $1,710 would equal a 10% decrease.
Since $1,672 is less than that, then they have decreased their energy use by more than 10% which is likely a success.
Answer: Yes, probably.
