Question

find the distance between the two points rounding to the nearest tenth (if necessary).

(1,4) and (-4,-8)

Explanation:

Step1: Recall distance formula

The distance $d$ between points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Substitute given points

Let $(x_1,y_1)=(1,4)$ and $(x_2,y_2)=(-4,-8)$.
$d=\sqrt{(-4-1)^2+(-8-4)^2}$

Step3: Calculate differences

$d=\sqrt{(-5)^2+(-12)^2}$

Step4: Compute squared terms

$d=\sqrt{25+144}$

Step5: Sum and take square root

$d=\sqrt{169}=13$

Answer:

13