Even numbers are considered divisible by 2
Prime numbers are numbers divisible by 1
Considering that in this situation, we only need positive numbers, 2 is the only number. It is even and also prime.
Therefore prime numbers
Answer:
Part 1) Vertical line : 
Part 2) Horizontal line : 
Step-by-step explanation:
Part 1) Write the equation for the vertical line passing through the point (1,-4)
we know that
The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it
so
The x-coordinate is 1
therefore
The equation of the line is
Part 2) Write the equation for the horizontal line passing through the point (1,-4)
we know that
The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it
so
The y-coordinate is -4
therefore
The equation of the line is
Only the first one works
y = 3(-1)-2 = -5
y = -(0) -6 = -6 not -2
This is a substitution problem...
Answer:
A=12
Step-by-step explanation:
OK so when you have absolute values it is very useful to think of abs(4 - v) as the distance between 4 and v.
Then you can write abs(4-v) < 5 as -5 < 4 - v < 5
This is because the distance between these two points must be in this range. Try writing out a real number line and giving random values to v. You will be able to see how this rule works!
Now that we have -5 < 4 - v < 5 we can solve it using basic algebra. We can solve it just like a normal equation but instead of doing an operation on "both sides" we have to do an operation on all three sides :D
-5 < 4 - v < 5
-5 -4 < 4 - v - 4 < 5 -4 add - 4 to all three sides
-9 <-v <1 simplify
-1 * -9 > -1 * -v > -1 * 1 multiply by -1 DONT FORGET TO SWITCH INEQUALITIES
9 > v > -1
-1 < v < 9
now just make sure you show in your number line what numbers v can be. <span>
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