Question

find the distance between the two points rounding to the necessary). (7,8) and (9,5)

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 $x_1 = 7,y_1 = 8,x_2=9,y_2 = 5$.

Step2: Calculate $(x_2 - x_1)^2$ and $(y_2 - y_1)^2$

$x_2 - x_1=9 - 7=2$, so $(x_2 - x_1)^2=2^2 = 4$. $y_2 - y_1=5 - 8=- 3$, so $(y_2 - y_1)^2=(-3)^2 = 9$.

Step3: Calculate the sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=4 + 9=13$.

Step4: Calculate the distance

$d=\sqrt{13}\approx3.6$ (rounded to the nearest tenth).

Answer:

$3.6$