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:
![\frac{(x - 5)^2}{625} -\frac{(y - 4)^2}{225} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%20-%205%29%5E2%7D%7B625%7D%20-%5Cfrac%7B%28y%20-%204%29%5E2%7D%7B225%7D%20%3D1)
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.
Read more about directrix at:
brainly.com/question/26109874
Ben was buying home address numbers and they cost $1 per digit.
Answer:
m >/= 50
Explanation:
There are 550 seats in the parliament, 2/3 of the majority would be 363 people, because you want 2 out of 3 of the majority, one way is to divide 550 into 3 parts(181) and then multiplying my two to get two parts out of 3. Since there are already 313 members who have pledged to support a particular constitutional change, then you would need at least 50 more members to approve; 363-313.