Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:

Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:

Then

So The coordinates of the center of the ellipse are (7, -3)
Answer:
2x^2 + 3x – 54 = (2x - 9) (x + 6), so A and F
Step-by-step explanation:
Answer:For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,
x + y = 18
20x + 15y = 330
The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.
Step-by-step explanation:
Hi! I'm pretty sure this is correct so here it goes:
A. 3/6
B. 12 4/6
Answer:
r = - 7, r = - 5
Step-by-step explanation:
Given
r² = - 12r - 35 ( add 12r to both sides )
r² + 12r = - 35
To complete the square
add ( half the coefficient of the r- term )² to both sides
r² + 2(6)r + 36 = - 35 + 36
(r + 6)² = 1 ← take the square root of both sides )
r + 6 = ± 1 ( subtract 6 from both sides )
r = - 6 ± 1, thus
r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5