Question

Find the distance between the points ( – 9.3,3) and ( – 9.3, – 7.5).

Answer 1

Distance between two points.

We have that the data is: (x₁ =–9.3, y₁=3) and (x₂=– 9.3, y₂=–7.5). The formula to calculate two distance between two points is:

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=√((x_1-x_2)^2+(y_1-Y_2)^2 ) } \end{gathered}$}}`

When we calculate the distance between two points, we solve what goes inside the parentheses, then it is calculated to the power of 2, and we continue adding the two numbers of the previous results, and finally the square root is calculated.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=√((-9.3-(-9.3))^2+(-7.5-3)^2 ) } \end{gathered}$}}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=√((0)^2+(-10.5)^2 ) } \end{gathered}$}}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=√(0+110.25 ) } \end{gathered}$}}`

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=√(110.25 ) } \end{gathered}$}}`

`\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d[A,B]=10.5 } \end{gathered}$}}}`

The distance between the points ( – 9.3,3) and ( – 9.3, – 7.5) is 10.5