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the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
<h3>What is hyperbola?</h3>
The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
<h3>What is the general formula for hyperbola?</h3>
The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
<h3>According to the given information:</h3>
x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
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Answer: $110
Step-by-step explanation:
Given: At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
F(d)models the fee (in dollars) for climbing d meters.
To find the initial amount, substitute d=0 int the above function, we get
Hence, the initial fee= $110.
Answer: 5890 meters
Step-by-step explanation:
Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.
The lowest point in the valley is 57 meters below sea level.
in integers it is represented by -57 meters. [we use negative integer to represents "below"]
Difference between the highest and lowest point = Highest point - lowest point
= 5,833 meters -(-57) meters
= (5833 + 57) meters [a-(-b)= a+b]
= 5890 meters
Hence, the required difference = 5890 meters
Answer:
9x miles
Step-by-step explanation:
Distance covered per day = x mile per day
Number of days = 9days
Unknown:
Distance covered for 9 days = ?
Solution:
This is a simple problem.
Since Kinsey covered a distance of x mile/day, in 9 days:
x mile is covered in 1 day;
1 day, Kinsey covers x mile
9 days, she will cover 9 x (x) miles = 9x miles
