Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:

Where
is the height of the rock at a time
.
Now, if
we can find
and then the velocity of the rock at that height:

Rearranging the equation:

Multiplying the equation by -1:

Solving with the quadratic formula
, where
,
,
.

Choosing the positive result of the equation:
Since velocity
is defined as the traveled distance
in a given time
, we have:


This is the velocity of the rock at the height of 48 feet
Step-by-step explanation:
I would have 9 to graduate
Answer:
False
True
True
(its what i think
Step-by-step explanation:
Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
The circumference is ~43.98 miles.