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. 11.25 units

Explanation:

Step1: Identify coordinates

Let point D have coordinates $(- 4,-1)$ and point E have coordinates $(4,-3)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-4,y_1 = - 1,x_2 = 4,y_2=-3$. So $d=\sqrt{(4-(-4))^2+((-3)-(-1))^2}=\sqrt{(4 + 4)^2+(-3 + 1)^2}=\sqrt{8^2+(-2)^2}=\sqrt{64 + 4}=\sqrt{68}$.

Step3: Calculate and round

$\sqrt{68}\approx8.25$.

Answer:

C. 8.25 units