Answer:
see explanation
Step-by-step explanation:
The solutions to the systems of equations are at the points of intersection of the 2 graphed functions.
1
There are 2 points of intersection , so 2 solutions at
(0, - 3 ) and (4, 5 )
2
There is 1 point of intersection, so 1 solution at
(- 2, 5 )
3
There are no points of intersection , so no solution
The final answer is:
7x120=840
Answer:
3 seconds
Step-by-step explanation:
When the ball hits the ground, the height will be 0. Therefore, you can substitute 0 in for the value of f(t), hence the equation will be:
0 = -16t^2 + 32t + 48
You can then factor out -16:
0 = t^2 - 2t - 3
Factor:
0 = (t-3)(t+1)
t = 3, -1
However -1 is an extraneous solution because time cannot be negative. Therefore, the answer is 3 seconds.
Answer:
B and B' are both 72 degrees, and sides BC and B'C' are both 5 units long.
Step-by-step explanation:
Parallelogram ABCD is reflected over the x-axis. What rule shows the input and output of the reflection, and what is the new coordinate of A'? Triangle ABC has been translated to create triangle A'B'C'. Angles C and C' are both 32 degrees, angles B and B' are both 72 degrees, and sides BC and B'C' are both 5 units long.
