The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>
The equation of the ellipse is given as:

The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
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Answer:
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Answer:
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Explanation:
The only quadrants in which csc x is positive from trigonometric quadrants are; quadrants 1 and 2
<h3>How to Interpret Trigonometric quadrants?</h3>
In trigonometric quadrants, we know that;
In quadrant 1, all functions are positive
In quadrant 2, sin and cosec functions are positive
In quadrant 3, tangent and cotangent functions are positive
In quadrant 4, cos and sec functions are positive.
Thus, we can see that the only quadrants for which csc x is positive are quadrant 1 and quadrant 2.
Read more about Trigonometric quadrants at;brainly.com/question/8120556
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