Question

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

Answer 1

Answer:

C.8.12 units  

Step-by-step 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:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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:

$d=\sqrt{(4-(-4))^2+(-3-(-1))^2} =\sqrt{(8)^2+(-2)^2} =\sqrt{64+4} =\sqrt{68} \\\\d=8.246211251$

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

Answer 2

Answer:

D. it should be 8.25 not .25

Step-by-step explanation: