Question

question 1
find the distance between each pair of points.
(7, - 5) and (-4,6)
ab = \sqrt{(-4 - (-5))^{2}+(6 - 7)^{2}}=2 units

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, $(x_1,y_1)=(7,-5)$ and $(x_2,y_2)=(-4,6)$.

Step2: Substitute values

$d=\sqrt{(-4 - 7)^2+(6-(-5))^2}=\sqrt{(-11)^2+(11)^2}=\sqrt{121 + 121}=\sqrt{242}=11\sqrt{2}\approx15.56$

Answer:

$11\sqrt{2}\text{ units}\approx15.56\text{ units}$