Answer:
9.33
Step-by-step explanation:
12.44=311/25
(3/4)×(311/25)=(3×311/4×25)=933/100=9.33
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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Your inequality is (x being number of people):
175≥35+10x+3x
First, combine like terms so your new inequality is:
175≥35+13x
Then subtract 35 from both sides which makes it:
140≥13x
then divide 140 by 13 making it:
<span>10.769≥x
</span>But because you can't have .769 of a person the actual answer is 10
then you have to subtract 1 because he isn't including himself and there is the answer!:
9≥x
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:
We found the slope:
Thus, the equation is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
3*(18-13)
3* 5
15
The answer is 15
