Question

Find the distance between (7, 8) and (-3, 2)Explain how you got your answer.

Answer 1

distance = 11.66

Step-by-step explanation:

The distance between two points (x1, y1) and (x2, y2) can be calculated as:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

So, replacing (x1, y1) by (7, 8) and (x2, y2) by (-3, 2), we get:

`\begin{gathered} d=\sqrt[]{(-3-7)^2+(2-8)^2} \\ d=\sqrt[]{(-10)^2+(-6)^2} \\ d=\sqrt[]{100+36} \\ d=\sqrt[]{136} \\ d=11.66 \end{gathered}`

Therefore, the distance between the points is 11.66 units