Answer: 90.5
Step-by-step explanation:
This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
Oh. It's rounding. So, for example, depending what you were told to round to, the second problem would be 760-330=430
Y-5=m(x+2) is the answer in point slope form
Answer:
A.
C.
Step-by-step explanation:
A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.
B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8
C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.
D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.
E. Two negative signs make a positive, so 72 + 100 is positive, not negative.
