Answer:
50
Step-by-step explanation:
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:
10,995.6 ft^3.
2300.3 gallons.
(both to the nearest tenth).
Step-by-step explanation:
Area of the surface of the river = area of the outer circle - area of the inner circle.
Radius of the outer circle = 30 *3 = 90 feet.
So the surface area of the river = π(90)^2 - π(85)^2
= 875π ft^2
Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3
= 10,995.6 ft^3.
Number of gallons of water it will hold = 10,995.6 / 4.78
= 2300.3 gallons.
The y intercept is (0, 14) and the x intercept is (-112,0) all you have to do is just make y zero if you are trying to solve for x and the same for the x if you are trying to solve for y.