F(x). - graph with a line going through (-2.8) and (-4,0)
1 answer:
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Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
We have to represent the fraction in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore,
Therefore, is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore,
Therefore, is the second way to represent the given fraction.
Therefore, and
are the different ways to represent the fraction
.