Question

The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +

(1-4)²

A. True
B. False

Answer 1

B. False

Explanation:

Given

`Points: (x_7 - y_i),(4,8)`

Required

Is the distance between them
`√((x_7 - 8)^2 + (y_1 - 4)^2)`

Given that there are two points, the distance between them is calculated using

Distance =
`√((x_2 - x_1)^2 + (y_2 - y_1)^2)`

In this case;

`(x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)`

Substitute these in the given formula

Distance =
`√((4- x_7)^2 + (8 - y_1)^2)`

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form
`√((4- x_7)^2 + (8 - y_1)^2)`