Question

Write an expression in terms of x that represents the distance between ( 4 , 8 ) and ( x , 8 ) for x > 4 .

Answer 1

The distance between two points is the number of units between them

The expression that represents the distance between the points is x - 4

How to determine the expression

The points are given as: (4,8) and (x,8)

The distance (d) between points is calculated using:

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

So, we have:

$d = \sqrt{(x - 4)^2 + (8 -8)^2}$

Evaluate the difference

$d = \sqrt{(x - 4)^2 + 0^2}$

Evaluate the exponent

$d = \sqrt{(x - 4)^2 + 0}$

Evaluate the sum

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

Evaluate the exponent

$d = x - 4$

Hence, the expression that represents the distance between the points is x - 4

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