The equation of the hyperbola is : 
The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)
As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin:
The distance from center to focus is 'c' and here focus is at (-50,0)
So, c= 50
Now if the distance from center to the directrix line is 'd', then

Here the directrix line is given as : x= 2304/50
Thus, 
⇒ 
⇒ a² = 2304
⇒ a = √2304 = 48
For hyperbola, b² = c² - a²
⇒ b² = 50² - 48² (By plugging c=50 and a = 48)
⇒ b² = 2500 - 2304
⇒ b² = 196
⇒ b = √196 = 14
So, the equation of the hyperbola is : 
Split up the interval [0, 8] into 4 equally spaced subintervals:
[0, 2], [2, 4], [4, 6], [6, 8]
Take the right endpoints, which form the arithmetic sequence

where 1 ≤ <em>i</em> ≤ 4.
Find the values of the function at these endpoints:

The area is given approximately by the Riemann sum,

where
; so the area is approximately

where we use the formulas,


Step-by-step explanation:
fihdjshshsjsbshdhddjdhdndjdbdhdb jseheidbdhdhdbehdndndnsjdnsjdndndjsjdndhdh sorry
4m + 5
Remove the parenthesis and collect like terms
3m + m + 5 = (3m + m) + 5 = 4m + 5
Answer:
2f =c
350c + 500f = 4800
Step-by-step explanation:
Twice as many cans of soup as frozen dinners
All food combined contain 4800 (mg of sodium)
2f =c
350c + 500f = 4800
These are the systems of equations.