Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line
Answer:
Step-by-step explanation:
you can see this is a geometric progression which a ratio of 
. the sum of the firs n term is:
the nearest integer would be:
292
Answer:
The average rate of change is 4
Step-by-step explanation:
To find the values of y when x = 0 and when x = 2, we can graph the equation using a graphing calculator.
Looking at the graph, we can see that when x = 0 y = 5 and when x = 2 y = 13
Now that we have two points (0,5) and (2,13) we can find the rate of change
To find the rate of change we use this equation: 
Let's input the values from our two points
Simplify: 
= 4
Answer:
Scale factor = 1/8
Step-by-step explanation:
The formula would be
Number of miles × scale factor = 5 inches
Number of miles = 40 miles
Hence,
40 miles × scale factor = 5 inches
Scale factor = 5/40
Scale factor = 1/8
Answer:
The data that we have is:
"Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second."
Then we can write the amount of water in Adrian's pool as a linear function:
A(t) = 6.4gal + (4.1gal/s)*t
Where t is our variable and represents time in seconds.
We also know that:
"Dale's backyard pool contains 66.4 gallons of water. Dale will begin draining his pool at a rate of 0.9 gallons per second. "
We can also model this with a linear function:
D(t) = 66.4 gal + (0.9gal/s)*t
Both pools will have the same amount of water when:
D(t) = A(t)
So we can find the value of t:
6.4gal + (4.1gal/s)*t = 66.4 gal + (0.9gal/s)*t
(4.1gal/s)*t - (0.9gal/s)*t = 66.4gal - 6.4gal
(3.2gal/s)*t = 60gal
t = 60gal/(3.2gal/s) = 18.75s
In 18.75 seconds both pools will have the same amount of water.
