Question

Find the distance between the points (4,3) and (1,0).

Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answer 1

`distance = \sqrt{(x_(1) -x_(2))^2+(y_(1) -y_(2))^2 }`

`=√((1-4)^2+(0-3)^2 ) \\=√(3^2 + 3^2)\\=√(18)\\=3√(2)`

Answer 2

3√2

Explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 3)² + (1 - 4)²

√(-3)² + (-3)²

√(9) + (9)

√18

3√2