Answer:
The lines would be parallel.
Step-by-step explanation:
If you moved both points from the first line over 2 and down 1 you would get the second line. Because your moving both points the same way they would never intersect.
Rewrite 512x^3 as (8x)^3
(8x)^3 + 2197y^3
Rewrite 2197y^3 as (13y)^3
(8x)^3 + (13y)^3
Since both terms are perfect cubes, factor using the sum of cubes formula.
a^3 + b^3 = (a + b)(a^2 - ab + b^2) where a = 8x and b = 13y.
(8x + 13y)((8x)^2 - (8x)(13y) + (13y)^2)
Simplify
(8x + 13y)(64x^2 - 104xy + 169y^2)
First, find her rate for the day. Since she runs 10 laps a day, multiply.
400 times 10= 4000
Next, I'll convert kilometers into meters;
12 times 1000=12,000
Divide to find the days:
12,000/4,000=3
It will take 3 days to run a total of 12 kilometers.
Answer:
The slope of a horizontal line is zero
Step-by-step explanation:
All horizontal lines are parallel to the x-axis.
The x-axis has a zero slope.
All parallel lines have the same slope.
Therefore the slope of a horizontal line is zero.
This means there is no rise in y.
So rise over run will become:
0/run=0
Answer: Domain: {2}
Step-by-step explanation:
1. By definition, the domain is the input value, this means that it is the x-value of a function.
2. Therefore, keeping the definition above on mind, you have that the domain of x is the x-value of each ordered pair.
3. Then, given x = {(2, 3), (2, 4), (2, 5), (2, 6)}, you can see that x-value of each ordered pair is 2. Therefore, you can conclude that the domain of x is:
Domain:{2}