The slope of the line is the change in y values over the change in x values, since for horizontal line, the y values do not change then, the slope is zero.
If the line is horizontal, this means that whatever the value of the x-coordinate (abscissa) is, the y-coordinate (ordinate) will always be 10.
The intercept of the line is 10. So, third statement is not true.
Since the equation of the line is zero and its y-intercept is zero, using the equation of the line which is,
y = mx + b
where m is slope and b is y-intercept. The equation of the line is,
y = 0x + 10 ; y = 10
<em>The true statements for this item are 1st, 2nd, and 4th.</em>
Step-by-step explanation:
If X is a finite Hausdorff space then every two points of X can be separated by open neighborhoods. Say the points of X are . So there are disjoint open neighborhoods and , of and respectively (that's the definition of Hausdorff space). There are also open disjoint neighborhoods and of and respectively, and disjoint open neighborhoods and of and , and so on, all the way to disjoint open neighborhoods , and of and respectively. So has every element of in it, except for . Since is union of open sets, it is open, and so , which is the singleton , is closed. Therefore every singleton is closed.
Now, remember finite union of closed sets is closed, so is closed, and so its complemented, which is is open. Therefore every singleton is also open.
That means any two points of belong to different connected components (since we can express X as the union of the open sets , so that is in a different connected component than , and same could be done with any ), and so each point is in its own connected component. And so the space is totally disconnected.
It is 8.40 if your not including tax and 8.80 if your are
So we know the total distance is 65 miles.
Let d1 = distance to 1st delivery from distribution center
d2 = distance to 2nd delivery from 1st delivery site
d3 = distance to 3rd delivery from 2nd delivery site
d4 = distance from 3rd delivery site back to distribution center.
So total distance D = d1 + d2 + d3 + d4 = 65
We know that d1 to d2, d2 to d3 and d3 to d4 each differ by 1/2 a mile.
This means that
d2 = d1 + 1/2
d3 = d2 + 1/2 = (d1 + 1/2) + 1/2 = d1 + 1
d4= d3 + 1/2 =d1 + 1 + 1/2 = d1 + 3/2
Adding all these distances:
d1 + d2 + d3 + d4
= d1 + (d1 + 1/2) + (d1 + 1) + (d1 + 3/2)
= 4d1 + 3 = 65
d1 = (65 - 3)/4
So the distance to the first delivery, d1 is (65 - 3)/4.
Does that make sense?