What value of x will satisfy the equation 0.2(x −2,700) = x?
1 answer:
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Answer:
The possible coordinates of point A are and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that ,
,
and
, then the possible coordinates of point A is:
There are two possible solutions:
1)
2)
The possible coordinates of point A are and
, respectively.
Your formula for this is 
and 
. Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.