Question

Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)

Answer 1

Answer:

Rounding it to two decimal places, we get distance, $d=17.35$

Step-by-step explanation:

Given:

The two points are $(9.7, -2.8)\textrm{ and }(-3.2, 8.8)$

The distance between the two points can be obtained using the distance formula which is given as:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Here, for the points, $(9.7, -2.8)\textrm{ and }(-3.2, 8.8)$

$x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8$

Therefore, the distance between the points is:

$d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348$

Rounding it to two decimal places, we get $d=17.35$