Question

Find the distance between (13,15) and (5,9).

Answer 1

10

Step-by-step explanation:

Given:

`\text{ Point 1 (x}_(1,)y_1_{})\text{ = (13,15)}`
`\text{ Point 2 (}_{}x_2,y_2)\text{ = (5,9)}`

To find the distance between points, we use the formula:

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

We plug in what we know:

`\begin{gathered} d=\text{ }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(5-13)^2+(9-15)^2} \\ \text{Simplify } \\ =\sqrt[]{(-8)^2+(-6)^2} \\ =\sqrt[]{64+36} \\ =\sqrt[]{100} \\ \text{Calculate} \\ d=10 \end{gathered}`

Therefore, the distance between (13,15) and (5,9) is 10.