Question

1. - / 1 points details find the distance between the points. (round your answer to two decimal places.) (9.9, -2.8), (-3.8, 8.1)

Explanation:

Step1: Recall distance formula

The distance $d$ 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 $x_1 = 9.9,y_1=-2.8,x_2=-3.8,y_2 = 8.1$.

Step2: Calculate differences

$x_2 - x_1=-3.8 - 9.9=-13.7$ and $y_2 - y_1=8.1-(-2.8)=8.1 + 2.8 = 10.9$.

Step3: Square the differences

$(x_2 - x_1)^2=(-13.7)^2 = 187.69$ and $(y_2 - y_1)^2=(10.9)^2 = 118.81$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=187.69+118.81 = 306.5$.

Step5: Calculate the square - root and round

$d=\sqrt{306.5}\approx17.51$.

Answer:

$17.51$