Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t

Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0

Simplifying,
-16t² + 32.8t + 2 = 0

The values of t from the equation are 2.11 seconds and -0.059 seconds

Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.

8 0

3 years ago

Given points J(1, 4), A(3,5), and G(2, 1), what arethe coordinates of AJ'A'G' when reflected overthe x-axis?

lilavasa [31]

Reflection across the x-axis:

$undefined$

y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis.

7 0

4 months ago

Paul and Tom both commute to work. Paul's commute on the train takes 15 minutes more than one third as many minutes as Tom's com

Ronch [10]

Answer:

45 = (one third)x + 15

Step-by-step explanation:

If x represents the number of minutes Tom commutes, then (1/3)x is "one-third as many minutes as Tom's commute." 15 minutes more than that is ...

(1/3)x + 15

We are told this is the length of Paul's commute, and that it is 45 minutes. So, the appropriate equation is ...

45 = (1/3)x +15

8 0

3 years ago

You make $10 on the first day, $20 on the second day, $40 on the third day, $80 on the fourth day, and so on. What is your total

Trava [24]

The answer to this question is 5,120 you have to multiply by 2

4 0

2 years ago