<h3>
Answer: 625</h3>
Work Shown:
The set {A,B,C,1,2} has five items. There are four slots to fill.
So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.
Given:
The slope of the line is m=0.
The line passes through the point P(-9,-3).
To find:
The equation of the line in standard form.
Solution:
Standard form of a line is:

The slope intercept form of the line is

Where, m is the slope and
is the point on the line.
It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is



Therefore, the standard form of the given line is
.
Answer:
y=7x+1
Step-by-step explanation:
From the table, the difference in y is 7 and the difference in x is 1.
Let the linear equation be

Where m is the constant difference in y divided by the constant difference in x.
This means m=7/1=7
Our equation now becomes:
y=7x+b
To find b, we substitute any ordered pair from the table.
From the to table, when x=1, y=8.
This implies that,
8=7(1)+b
b=8-7=1
Therefore the equation is y=7x+1
Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation

Bottom equation

We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
Answer:
300
Step-by-step explanation:
75 multiplied by 4 is 300