Answer:

Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:

34. 65 = 3/4c - 7....add 7 to both sides
65 + 7 = 3/4c...simplify
72 = 3/4c...multiply both sides by 4/3, eliminating the 3/4 on the left
72 * 4/3 = c
288/3 = c
96 = c
36. -5/2 = 3/4z + 1/2 ...subtract 1/2 from both sides
-5/2 - 1/2 = 3/4z .... simplify
-6/2 = 3/4z ....reduce
-3 = 3/4z....multiply by 4/3. eliminating the 3/4 on the left
-3 * 4/3 = z
-12/3 = z
-4 = z
Answer:
Below.
Step-by-step explanation:
We have 6/6 the radius and 10/30 that means the height of b is 3 times greater then a therefore the answer is D.