The paths will cross when the coordinates are (1,9) and (4, 15).
<h3>What is a model?</h3>
A model is a representation of reality. Now we have that the path of the frisbee is y = -x² + 7x + 3 while the path of the dog is y = 2x + 7.
The both paths will cross when;
-x² + 7x + 3 = 2x + 7
-x² + 5x - 4 =0
x=1 or x=4
If x = 1, y = 2(1) + 7 = 9
If x = 4, y = 2(4) + 7 = 15
Thus the paths will cross when the coordinates are (1,9) and (4, 15).
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Answer:
6000000 sq yd
Step-by-step explanation:
Data provided in the question:
Length of the fencing = 7000 yd
let the perpendicular sides be 'P'
and the length parallel to the river be 'L'
according to the given question
L = P + 2500 ............(1)
also,
Length to be fenced = 2P + L
thus,
2P + L = 7000 ...........(2)
substituting L from (1), we get
2P + P + 2500 = 7000
or
3P = 7000 - 2500
or
3P = 4500
or
P = 1500 yd
Thus,
L = 1500 + 2500 = 4000 yd
Therefore,
the area of the rectangular land = L × P = 4000 × 1500 = 6000000 sq yd
Step-by-step explanation:
ball is hit from the ground level i.e h0=0
initial velocity=80
when the ball hits the ground it's height from the ground=0
substitute the data in the above function
0=-16t^2+80×t+0
t=0 is a solution but it is at the beginning of the projection
16t=80
t=5
The answer in exact form is:
1/256