Question

question 1 of 5 calculate the distance between the two points, a (-9, 7) and b (6, -1). give your answer correct to 2 decimal places if necessary.

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, $x_1=-9,y_1 = 7,x_2 = 9,y_2=-1$.

Step2: Substitute values

$d=\sqrt{(9-(-9))^2+((-1)-7)^2}=\sqrt{(9 + 9)^2+(-8)^2}=\sqrt{(18)^2+64}$.

Step3: Calculate squares and sum

$\sqrt{324 + 64}=\sqrt{388}$.

Step4: Approximate the square - root

$\sqrt{388}\approx19.70$.

Answer:

$19.70$