The equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)
<h3>What is the equation of the ellipse represented in the graph?</h3>
Herein we have a representation of an ellipse in the image attached aside, ellipses are characterized by the following <em>standard</em> formula:
(x - h)² / a² + (y - k)² / b² = 1 (1)
Where:
- (h, k) - Coordinates of the center
- a, b - Lengths of the semiaxes
Please notice that ellipse will be vertical if b > a, otherwise it will be horizontal. The graph exhibits a <em>vertical</em> ellipse centered at the origin and therefore we conclude that (h, k) = (0, 0) and b > a (b = 10, a = 2). Finally, the equation that represents the graph of the ellipse is x² / 4 + y² / 100 = 1. (Correct choice: D)
To learn more on ellipses: brainly.com/question/14281133
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A square with a perimeter of 48 inches would have 12 in sides, while a triangle of the same perimeter would have 16 in sides. The ratio would be 16/12 which simplified to 4/3.
Answer: y=2x+1 is parallel & y=-2x+5 is perpendicular
The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.
<h3>What is the objective function?</h3>
The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.
On putting the values we will get the values one by one. We get;
1. (0, 0)
2. (2,7)
3. (5,6)
4. (8,1)
The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)
Hence option C is correct.
To learn more about the objective function refer to the link;
brainly.com/question/15830007
