Answer:
7x -2y = 6
Step-by-step explanation:
The perpendicular bisector has a slope that is the opposite of the reciprocal of the slope of the segment between the two points. It must go through the midpoint of the segment.
The latter can be found by averaging the coordinates of the end points:
((-5, 6) +(9, 2))/2 = ((-5+9)/2, (6+2)/2) = (2, 4)
The difference in endpoint coordinates is ...
(Δx, Δy) = (9-(-5), 2-6) = (14, -4)
For our purpose, we're only interested in the ratio of these values, so we can divide both by the common factor of 2:
(Δx, Δy) = (7, -2)
A line perpendicular to this segment through the point (h, k) can be written as ...
Δx·x +Δy·y = Δx·h +Δy·k
7x -2y = 7(2) -2(4)
7x -2y = 6 . . . . . . . standard form equation for the perpendicular bisector
answer is 130 use calculator
Answer:
15 pairwise comparisons; 30 pairwise rankings.
Step-by-step explanation:
Each of the 6 candidates can be ranked #1 in relation to the other 5, for a total of 30 pairwise rankings.
Of course, two of those are comparisons of the same pair of candidates. The same is true of all pairs of candiates, so the number of pairwise comparisons is half the possible number of rankings: 30/2 = 15.
_____
For example, for the pair of candidates A and B, you can have the two rankings ...
These cases are possible outcomes of the the one pairwise comparison ...
Answer:
We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
Step-by-step explanation:
From the coordinate plane, we can clearly identify that:
- Sandy's Hotel is located at the point (-8, 9)
- Trader Joes' Store is located at the point (-4, 2)
The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:
The distance between (-8, 9) and (-4, 2)
miles
Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
