Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(9, 5) and (6, - 3)

Explanation:

Step1: Identify distance formula

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

Step2: Assign values

Let $(x_1,y_1)=(9,5)$ and $(x_2,y_2)=(6, - 3)$. Then $x_2 - x_1=6 - 9=-3$ and $y_2 - y_1=-3 - 5=-8$.

Step3: Calculate squares

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

Step4: Sum of squares

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

Step5: Calculate distance

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

Answer:

$8.5$