Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is




Using distributive property, we get


Subtract 1 from both sides.


Therefore, the correct option is B.
Answer:
23 feet
Step-by-step explanation:
Givens
Volume = pi r^2 h
r = 11
V = 2783 pi
Solution
2783 pi = pi 11^2 * h Cancel the 2 pi's
2783 = 11^2 h Expand 11^2
2783 = 121 * h Divide by 121
2783/121 = h
h = 23 feet
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 3, 5 ]
From the table of values
f(b) = f(5) = 32
f(a) = f(3) = 8
Hence
average rate of change =
=
= 12
9514 1404 393
Answer:
We are absolutely certain that the event will occur
Step-by-step explanation:
An event with probability 1 is certain to occur. There is no chance it will not occur.
We are absolutely certain that the event will occur.