Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-4,8) and (4,5)

Explanation:

Step1: Recall 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, $x_1=-4,y_1 = 8,x_2 = 4,y_2=5$.

Step2: Calculate $(x_2 - x_1)$ and $(y_2 - y_1)$

$x_2 - x_1=4-(-4)=8$, $y_2 - y_1=5 - 8=-3$.

Step3: Calculate $(x_2 - x_1)^2+(y_2 - y_1)^2$

$(x_2 - x_1)^2+(y_2 - y_1)^2=8^2+(-3)^2=64 + 9=73$.

Step4: Calculate the distance

$d=\sqrt{73}\approx 8.5$.

Answer:

$8.5$