Answer:
Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.
We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.
Now, we compare the given equation by standard form
So, slope of the line , and
y-intercept
We know that the slope of the perpendicular line
So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.
Substitute point and
So, the y-intercept of the perpendicular line
Using point slope formula.
Substitute and in above equation.
Therefore: the equation of the perpendicular line
Answer:
Value of the car after x years
Step-by-step explanation:
Exponential functions are generally expressed in the form: and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: where r=rate of decay.
In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a
The r represents the rate of decay
the x usually represents the time in seconds, days, months, or whatever unit is being used
The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.
This is because a represents the initial value
After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)
After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))
This will continue to decrease the number of years increase
You have to go over then up (x,y)
I think it takes him about 9 minutes and 25 seconds to run a mile