Answer:
30 inches
Step-by-step explanation:
Assuming the lengths are measured when B lies between A and C on a line, the segment addition theorem applies:
AC = AB +BC
42 = AB + 12 . . . . . fill in the given numbers
30 = AB . . . . . . . . . subtract 12
The length of AB is 30 inches.
Answer: D.) 
Step-by-step explanation: We are given an exponential function f(x).
g(x) is an exponential function that is being reflected across y-axis.
According to rules of transformations y=f(-x).
That is variable x is being multiplied by a negative sign.
In the given options
, the variable x is being multiplied by a negative sign.
Therefore, correct option is D option.
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
U have to solve it then right the equation down
2/5 + 1/2 = 0.9
0.9 in fraction form is 9/10!
Hope this helps!