Solve the system of equations algebraically.
1 answer:
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Answer:
t = 5 s
Step-by-step explanation:
The function that gives the height in feet of the ball t seconds after it is thrown is :
We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.
So,
We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.
t = -2 s is not possible.
Hence, the ball will hit the ground before 5 seconds.
Solution :
Let, equation of line is y = mx + c .
Here, m is the slope of the line and c is the y-intercept .
Putting point ( -6, -10 ) in above equation, we get :
-10 = -6m + c ...1)
Also, putting point ( -3, -8 ) in above equation, we get :
-8 = -3m + c ...2)
Solving equation, 1) and 2) we get :
3m = 2
and
Therefore, y-intercept is -6 .