Question

Find the distance between the points (-3, 2) and (4, -5)

Answer 1

`\large\boxed{7\sqrt2}`

Explanation:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points (-3, 2) and (4, -5). Substitute:

`d=√((4-(-3))^2+(-5-2)^2)=√(7^2+(-7)^2)=√(49+49)=√((49)(2))\\\\\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=√(49)\cdot\sqrt2=7\sqrt2`