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

Question

asked Feb 4, 2018 89.2k views

2 Answers

Andri Kurnia · Answer 1 · 2018-02-10T12:54:39+0000

Answer:

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.