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olchik [2.2K]
3 years ago
13

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a

nswer should only involve the variable x. Then d(x) =

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

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!

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