Question

etween the points (10, 7) and (2, 2). the nearest tenth.

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, $x_1 = 10,y_1 = 7,x_2 = 2,y_2 = 2$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=2 - 10=-8$ and $y_2 - y_1=2 - 7=-5$.

Step3: Square the differences

$(x_2 - x_1)^2=(-8)^2 = 64$ and $(y_2 - y_1)^2=(-5)^2 = 25$.

Step4: Sum the squared - differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=64 + 25=89$.

Step5: Calculate the distance

$d=\sqrt{89}\approx9.4$.

Answer:

$9.4$