Label the points A,B,C
- A = (1,2)
- B = (4,5)
- C = (8,9)
Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.

Segment AB is exactly
units long.
Now let's find the distance from B to C

Segment BC is exactly
units long.
Adding these segments gives

----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C

AC is exactly
units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
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
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
Four hundred eighty two point seventy three tenths
answer:
ABCD is not congruent to KLMN
ABCD cannot be mapped onto KLMN