Hi There! :)
<span>Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
</span><span> x = log 64 / log 4</span>
Answer:
They are on opposite sides of the river ( the riddle never said that they were on the same side )
One simply uses the boat to cross the river and the other person gets into the boat and takes it back to where it started.
Step-by-step explanation:
Answer:
Total number of baseball game players =(p) =
.
Step-by-step explanation:
Let the total number of baseball players be (p).
So as we have been given that,
of them have taken bottle of water.
And this is also equivalent to 
.
So we can say that 
From here we can find the value of (p).
To find (p) multiply both sides with 
and divide with 
.
Now
So here we have the total number of baseball players that is (p) and 
.
We can also say that the number of players who have taken box of juice at the end of the game 
.
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.
To know more about Hyperbola visit:
brainly.com/question/12919612
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