Answer:
Length of segment units = 8.94 units
Step-by-step explanation:
Given:
End point of line: (2,1)
Midpoint of line: (-2,-1)
To find length of line segment.
Solution:
Distance from endpoint to midpoint is half the length of segment as the midpoint divides the line into equal halves.
Distance from end point to mid point can be found out using distance formula:
Plugging in points for end point (2,1) and midpoint(-2,-1).
Length of half segment units
∴ Length of segment = units
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Explanation:
Rearrange the first equation into
So we have this equivalent system
If you add the terms straight down, then you'll find that the x^2 and y^2 terms add to 0. The right hand side terms add to 16+16 = 32
We are left with the equation 0 = 32, which is a false equation or contradiction. Therefore, there are no solutions. We say the system is inconsistent. The two graphs do not intersect at all as shown in the diagram below. We have two hyperbolas in which the branches extend off to infinity to slowly approach the asymptotes. They never actually get to the asymptotes, but only get closer.
