Question

Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.

Answer 1

• X(-9,2)
• Y(5,-4)

`\\ \rm\longmapsto XY=√((x_2-x_1)^2+(y_2-y_1)^2)`

`\\ \rm\longmapsto XY=√((5+9)^2+(-4-2)^2)`

`\\ \rm\longmapsto XY=√((14)^2+(-6)^2)`

`\\ \rm\longmapsto XY=√(196+36)`

`\\ \rm\longmapsto XY=√(232)`

`\\ \rm\longmapsto XY=15.2`

Answer 2

15.23

Explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23