The path of the ball is an illustration of absolute equation.
The equation of the path is: 
The given parameters are:
--- the vertex (i.e. the point where the ball hits the wall)
An absolute function is represented as:
Substitute
Substitute for x and y
Remove absolute bracket
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the path is:
See attachment for graph that models the path
Read more about absolute equations at:
brainly.com/question/2166748
Using the decay formula: Total = start value x (1 - rate)^time
Total = 23,840 x (1-0.04)^10
Total = 23,840 x (0.96)^10
Total = 15,849.61
Rounded to nearest whole number = 15,850
Answer:
y+2-x=0
Step-by-step explanation:
Here,
(-3,-5)=(x1,y1)
(3,1)=(x2,y2)
Slope(m)=y2-y1/x2-x1
=1-(-5)/3-(-3)
=1+5/3+3
=6/6
=1
Mid point=(x1+x2/2 , y1+y2/2)
=(-3+3/2 , -5+1/2)
=(0/2 , -4/2)
=(0 , -2)
Now, (0,-2)=(x1,y1)
Equation:
y-y1=m(x-x1)
y+2=1(x-0)
y+2=1x
y+2-x=0 is the required equation.
On a particular day, the wind added 4 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 4 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 57 miles with the wind, he could go only 33 miles against the wind.What is his normal bicycling speed with no wind?
