Answer:

Step-by-step explanation:
The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:
General form of a line:

Point:

Distance:

Convert the equation:
|<em>subtract
from both sides</em>
|<em>multiply both sides by 3</em>

Coordinates of the point:

substitute:


|<em>multiply both sides by
</em>
|<em>divide both sides by 3</em>

Finally:

Step-by-step explanation:
if there is no typo, then that is
y = 1 + 5 = 6
y = 6
has no term in x.
that means 6 is the constant result of the line function, no matter what x value we pick.
and that means this is a horizontal line (parallel to the x-axis) going through the point y=6 or (0, 6).
remember that the slope is the ratio "y coordinate change / x coordinate change".
but y is not changing at all, the change or difference is always 0 no matter what points we pick on the line.
and so, the slope ratio is always "0/...". and that is 0.
so, the slope of that line is 0.
but if there is a typo, then please know : the slope of a line
y =ax + b
is always a (the factor of x).
Answer:
221
Step-by-step explanation:
2 - 1 + 5 · 4 · 11 = 2 - 1 + 20 · 11 = 2 - 1 + 220
2 - 1 + 220 = 1 + 220
Answer:one half
Step-by-step explanation:
An empty cubical carton of side 7cm has the volume:
7 x 7 x 7 = 343cm³
A cube of side 1cm has the volume:
1 x 1 x 1 = 1cm³
From this, we can see that a 1000 cubes of side 1cm has the volume:
1000 x 1cm³ = 1000cm³
But we know that the cubical carton of side 7cm only has a volume of 343cm³.
Since 1000cm³ > 343cm³,
you cant fill 1000 cubes of side 1cm in such a carton.
TL;DR
No
Hope this helps