Question

What is the approximate distance between points D and E? Round your answer to the nearest hundredth.

A.4 units
B.8 units
C.8.12 units
D.25 units

Answer 1

D. it should be 8.25 not .25

Explanation:

Answer 2

C.8.12 units

Explanation:

Given the coordinates of two points:

`P1=(x_1,y_1)\\P2=(x_2,y_2)`

The distance between these points is determined by the following equation:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We can extract the exact coordinates from the graph provided by the problem:

`P1=D=(x_1,y_1)=(-4,-1)\\P2=E=(x_2,y_2)=(4,-3)`

Therefore:

`d=√((4-(-4))^2+(-3-(-1))^2) =√((8)^2+(-2)^2) =√(64+4) =√(68) \\\\d=8.246211251`

I don't see the correct answer from the choices given. So I would say the most aproximate is C.