For this case we have that by definition, the standard form of a linear equation is given by:

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

We have the following point-slope equation of a line:

The slope is:

We find the slope
of a perpendicular line:

Thus, the equation is of the form:

We have the point through which the line passes:

Thus, the equation is:

We manipulate algebraically:

We add 3 to both sides of the equation:

We multiply by 2 on both sides of the equation:

We subtract 3x on both sides:

We subtract 12 from both sides:

ANswer:

Answer:
(D) f(x+1)=2f(x)
Step-by-step explanation:
The sequence is:

Now,

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.
Therefore for term f(x), the next term f(x+1) is:
f(x+1)=2f(x)
Inverse proportion is of the form:
y=k/x, in this case the variables are
z=k/x, and we are given the point (6,2) so we can solve for k
2=k/6
12=k, so our equation is:
z=12/x, so when x=13
z=12/13
The value of the equation is 2.56