Answer:
y = -6x - 42
Step-by-step explanation:
First solve for y in x = 6 + 6y.
6y + 6 = x
6y = x - 6
6/6y = x/6 - 6/6
y = 1/6x - 1 the slope is 1/6.
Perpendicular lines slopes are negative reciprocals of each other.
So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)
Next solve for "b" by using y = mx + b and the new slope of -6 and the point (-8,6)
y = mx + b
6 = -6(-8) + b
6 = 48 + b
-42 = b
The equation of the line is y = -6x - 42
Answer:
Which math do you need to use help?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0

The y-intercept is the point (0,1)
so


The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1

point (1,2)
For x=2

point (2,4)
For x=3

point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
The area would be 19.625- inches
Answer: 18 dollars
Step-by-step explanation:
0.40 times 45 = 18 dollars