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)
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Answer:
see explanation
Step-by-step explanation:
(1)
= 
( cross- multiply )
6p = 8 ( divide both sides by 6 )
p = 
= 
(2)
= 
( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = 
(3)
= 
( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = 
The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
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Answer:
x=14
Step-by-step explanation:
The sum of a interior angle is 180°
(7x-11)+(2x-3)+(5x-2)°=180°
7x+2x+5x=180+11+3+2
14x/14=196/14
x= 14
Hope this answers your question!! :)
