Question

Find the distance between 5,3 and -7,7 express as a radical or a number rounded to the nearest hundreth

Answer 1

The distance between the given points is:

`distance=√(160) =4\,√(10) \approx 12.65`

Explanation:

We use the distance formula on the coordinate plane:

`distance=√((x_2-x_1)^2+(y_2-y_i)^2) \\distance=√((-7-5)^2+(7-3)^2)\\distance=√((-12)^2+(4)^2)\\distance=√(144+16) \\distance=√(160) \\distance=4\,√(10) \\distance\approx 12.65`