Question

Find the distance between X (4, 2) and Y (7,4).Round answer to the nearest tenth. Please show steps

Answer 1

3.6 Units

Step-by-step explanation:

Given points X(4, 2) and Y(7,4), to determine the distance between X and Y we use the distance formula below:

`\text{Distance}=√((x_2-x_1)^2+(y_2-y_1)^2)`
`\begin{gathered} \text{Point X(4,2) }\implies x_1=4,y_1=2 \\ \text{Point Y(7,4) }\implies x_2=7,y_2=4 \end{gathered}`

Substituting these points into the distance formula, we have:

`\begin{gathered} \text{XY}=√((7-4)^2+(4-2)^2) \\ =√(3^2+2^2) \\ =√(9+4) \\ =√(13) \\ =3.6\text{ Units (correct to the nearest tenth)} \end{gathered}`

The distance between X and Y is 3.6 Units.