<span>For given hyperbola:
center: (0,0)
a=7 (distance from center to vertices)
a^2=49
c=9 (distance from center to vertices)
c^2=81
c^2=a^2+b^2
b^2=c^2-a^2=81-49=32
Equation of given hyperbola:
..
2: vertices (0,+/-3) foci (0,+/-6)
hyperbola has a vertical transverse axis
Its standard form of equation: , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (0,0)
a=3 (distance from center to vertices)
a^2=9
c=6 (distance from center to vertices)
c^2=36 a^2+b^2
b^2=c^2-a^2=36-9=25
Equation of given hyperbola:
</span>
The answer is 1/2n-4
Multiplying a number n by 1/2 is the same as dividing that number by 2.
We know that
Inverse Variation is a<span> relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> </span><span>the wavelength
x*y=k
find the value of k
for x=</span><span>220 hertz y=3 ft
</span><span>x*y=k
220*3=k
k=660
</span>for x=165 hertz y=4 ft
x*y=k
165*4=660
k=660<span>
the answer part a) is
</span><span>the type of variation between pitch and wavelength is an inverse variation
</span>
part b) <span>What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz
the answer Part b) is
132 hertz</span>
To find the correct answer, you have to simplify the equation.
Multiply -1/2 by everything in the parenthesis.
3/4x - 3x - 1/2 - 3x. Combine like terms.
-21/4x - 1/2. Turn -21/4x into a mixed number.
-5 1/4x - 1/2.
Your answer is D
Answer:
1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
12:45 - 12:30 = :15
15 minutes equates to 1/5 of the rides
So, we multiply 15 by 5 to find the total time taken to ride all the rides.
15 x 5 = 75
75/60 = 1.25
It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.
