Question

Write an expression in terms of x that represents the distance between (2,10) and (x,10) for x>2.

Answer 1

Answer:

Step-by-step explanation:

$d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2$

Answer 2

The required expression is $x^2-4x+4$

The given coordinates are (2,10) and (x,10)

The formula for finding the distance between two points is,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Now, substituting the given points into the above formula we get,

$\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4$

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