Answer:
Step-by-step explanation:
Use the slope-intercept formula:
m is the slope and b is the y-intercept. Use the slope formula first:
Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:
Simplify parentheses (two negatives makes a positive):
Simplify:
The slope is 
. Insert into the equation:
Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:
Solve for b, the y-intercept. Simplify parentheses:
Add 
to both sides:
Simplify:
The y-intercept is 
. Insert this into the equation:
Finito.
Answer:
. Multiply 15 by 1, then divide by 5
The perimeter of a square is the sum of its sides and they
are all equal, so to obtain the length of each of them we divide the perimeter
of the first fence between 4:
P1= 64 feet/4 sides
P1= 16 feet
Then, the length of each side of the second fence will
increase 2 feet at each end, as shown in the figure. We have then that the
perimeter of the second fence is:
P2 = 20 feet x 4 sides
P2 = 80 feet
The sum of the perimeters of both fences is:
PT = P1 + P2
PT = 64 feet + 80 feet
PT = 144 feet
Total cost = 1.17 $ x 144 feet
Total cost = 168.48 $
The total cost of the fences was $ 168.48
Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
3(x-6)(x+2)
hope this helps
