Question

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

Answer 1

Answer:

The distance between the given points is:

$distance=\sqrt{160} =4\,\sqrt{10} \approx 12.65$

Step-by-step explanation:

We use the distance formula on the coordinate plane:

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