Answer:
d) vertical line that is 31.25
Step-by-step explanation:
Each directrix of this ellipse is a vertical line that is 31.25 units from the center on the major axis option (d) is correct.
An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have an equation for the ellipse:
[tex]\rm \dfrac{(x-5)^{2}}{625}+\dfrac{(y-4)^{2}}{225}=1[/tex]
Here:
a = 25
b = 15
x = ±a/e
c = √(25²-15²)
c = 20
e = c/a = 20/25 = 0.8
x = ±25/0.8 = ±31.25
Thus, each directrix of this ellipse is a vertical line that is 31.25 units from the center on the major axis.
Learn more about the ellipse here:
https://brainly.com/question/19507943
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