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 :
The value of angle Y is -120° because you know that angle S is half of angle Y and -60*2 equals -120°. Hope that helps!
Answer:
4/6 or 2/3.
Step-by-step explanation:
You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.
Answer:
2.6%
Step-by-step explanation:
Given the current CPI = 231.56
Previous CPI (CPI a year ago) = 225.3
Rate of inflation over the past year = current CPI - previous CPI/previous CPI × 100%
Rate of inflation = 231.56-225.3/225.3 × 100%
5.86/225.3× 100%
= 2.6%
Rate of inflation over the past year will be 2.6%
For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
