Answer: Independent Variable
Step-by-step explanation:
The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.
Answer:
-3.69
Step-by-step explanation:
Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:
Now lets work out this problem:
Using calculator, we take the values of Ln 16 and Ln 13 as:
Ln 16 = 2.7726
Ln 13 = 2.5649
Now, we can solve for x:
x is -3.69 (rounded to 2 decimal places)
Given equation is
The given equation is in the form of
a^2= 16 , so a=4
b^2 = 9 so b= 4
The value of 'a' is greater than the value of 'b'
So it is a Horizontal hyperbola
First two graphs are horizontal hyperbola
Here center is (h,k)
h= 5 and k =2 from the given equation
So center is (5,2)
Now we find vertices
Vertices are (h+a,k) and (h-a,k)
We know h=5, k=2 and a=4
So vertices are (9,2) and (1,2)
Second graph having same vertices and center
The correct graph is attached below
Answer:
24cm
Step-by-step explanation:
6x4=24