Question

find the distance between (2, 3) and (9, 8).provide an answer accurate to the nearest tenth.

Explanation:

Step1: Identify the 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 the values of the points

Let $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(9,8)$. Then $x_2 - x_1=9 - 2 = 7$ and $y_2 - y_1=8 - 3 = 5$.

Step3: Calculate the squares

$(x_2 - x_1)^2=7^2 = 49$ and $(y_2 - y_1)^2=5^2 = 25$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=49 + 25=74$.

Step5: Calculate the distance

$d=\sqrt{74}\approx8.6$.

Answer:

$8.6$