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
Answer:
A) L = W + 6
B) L * W = 167 OR L = 167 / W
Substituting B) into A)
167 / W = W + 6
Multiplying both sides by "W" we get
167 = W^2 + 6W
W^2 + 6W -167
Solving by the quadratic formula
Width = 10.266
Length = 16.266
Step-by-step explanation:
Answer:
B. 9
Step-by-step explanation:
We assume that ...
SU = ST +TU
133 = (9x-5) +(5x+12)
126 = 14x . . . . . subtract 7, collect terms
9 = x . . . . . . . . . divide by 14
9514 1404 393
Answer:
119 4/7
Step-by-step explanation:
The perimeter is the sum of side lengths.
10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7
= (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14
= 118 + 9/7 + 4/14
= 118 + 1 2/7 + 2/7
= 119 4/7 . . . . perimeter of the figure
10,000-1,000=9,000 -100
8,900,i think maybe