The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is 
<h3>How to determine the equation of the hyperbola?</h3>
The given parameters are:
- Directrices at x = ±2
- Foci at (5, 0) and (−5, 0)
The foci of a hyperbola are represented as:
Foci = (k ± c, h)
The center is:
Center = (h,k)
And the directrix is:
Directrix, x = h ± a²/c
By comparison, we have:
k ± c = ±5
h = 0
h ± a²/c = ±2
Substitute h = 0 in h ± a²/c = ±2
0 ± a²/c = ±2
This gives
a²/c = 2
Multiply both sides by c
a² = 2c
k ± c = ±5 means that:
k ± c = 0 ± 5
By comparison, we have:
k = 0 and c = 5
Substitute c = 5 in a² = 2c
a² = 2 * 5
a² = 10
Next, we calculate b using:
b² = c² - a²
This gives
b² = 5² - 10
Evaluate
b² = 15
The hyperbola is represented as:

So, we have:

Evaluate

Hence, the equation of the hyperbola is 
Read more about hyperbola at:
brainly.com/question/3405939
#SPJ1
Answer:
2 hectometers = 20,000 centimeters
Hope this helps!
-Mikayla
Answer:
Volume is about 26.5 in^3
Step-by-step explanation:
The volume = 4/3 pi r^3 where r = the radius.
the radius = 1/2 diameter = 1/2 * 3.7 = 1.85 ins.
So V = 4/3 * 3.14 * 1.85^3
= 26.5084
Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.
Answer:
Never bwa hahaha JK try d
Step-by-step explanation: