Question

The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. True or false?

Answer 1

The answer is True because the distance formula is √(x2-x1)²+(y2-y1)²

TRUE

Answer 2

True

Explanation:

By the distance formula,

The distance between two points
`(a_1, b_1)` and
`(a_2, b_2)` is,

`d=√((a_2-a_1)^2+(b_2-b_1)^2)`

Here,
`a_1=3`,
`b_1=7`,
`a_2=x_1` and
`b_2=y_1`

Thus, the distance would be,

`d=√((x_1-3)^2+(y_1-7)^2)`

= the square root of
`(x_1 - 3)^2 + (y_1 - 7)^2`