1, 3, 5, 7, 9 are the possible digits
meaning you have 5! possible combinations or 120 combinations
Answer:

Step-by-step explanation:

Making denominator same in first bracket we get


Dividing 6 by 3 we get 2

using distributive law

Hence this is our answer
Answer:
See explanation
Step-by-step explanation:
1 step:
n=1, then

So, for j=1 this statement is true
2 step:
Assume that for n=k the following statement is true

3 step:
Check for n=k+1 whether the statement

is true.
Start with the left side:

According to the 2nd step,

Substitute it into the 

So, you have proved the initial statement
Segment BD equals 12<span />
Answer:
The equation would be y = 2x + 3
Step-by-step explanation:
In order to solve this, we first need to find the slope of the line between (-2, 5) and (2, 3). In order to do this, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - 5)/(2 - -2)
m = -2/4
m = -1/2
Now that we have the original line with a slope of -1/2, we can tell a perpendicular line would have a slope of 2. This is because perpendicular lines have opposite and reciprocal slopes. Now we can use that slope and the given point in point-slope form to get the answer. Be sure to solve for y.
y - y1 = m(x - x1)
y + 7 = 2(x + 5)
y + 7 = 2x + 10
y = 2x + 3