The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Answer:
4,00 pounds
Step-by-step explanation:
Answer:
The Correct option is Last one 
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line
is 
Step-by-step explanation:
Given:

To Find:
Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3
Solution:
..........Given
Comparing with Slope-Intercept form,

Where m =slope
We get

We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.
Now the equation of line in slope point form given by

Substituting the points and so we will get the required equation of the line,

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line
is 
A straight line adds up to 180
So the line opposite of 137 should add up to 180
This gives us the equation 137+x=180 then x=43
The triangle also adds up to 180 degrees
So 102+43+x=180
The equation can be simplified to 145+x=180 therefore x=35
So x+?=180 because it is a straight line.
We can substitute x in making the equation 35+?=180
Now we want to solve for the ? so we'll subtract 35 from each side
This leaves us with the equation ?=145
So we now know that the ?=145
Answer:
-1 is the inverse of 16 modulo 17.
Step-by-step explanation:
To find : An inverse of 16 modulo 17 i.e.
?
Solution :
First we find the GCD of (17,16) using Euclid's algorithm,

Remainder is 1.
Which means, GCD(17,16)=1
Using back substitution we get,



i.e. -1 is the inverse of 16 modulo 17.
On comparing with 
The value of x=-1.