Question

What is the distance of (7,8) and (9,0)

Answer 1

We need to find the distance between the following points:

(7, 8) and (9,0)

Step 1: label the coordinates

we define our x and y coordinates according to the given points as follows:

`\begin{gathered} x_1=7 \\ y_1=8 \\ x_2=9 \\ y_2=0 \end{gathered}`

Step 2: Use the Pythagorean theorem as follows to find the distance "d".

`d=√((x_1-x_2)^2+(y_1-y_2)^2)`

Step 3: Substituting our values

`\begin{gathered} d=√((7-9)^2+(8-0)^2) \\ d=√((-2)^2+8^2) \\ d=√(4+64) \\ d=√(68) \end{gathered}`

Step 4: simplify the square root

since 68=4x17:

`d=√(68)=√(4*17)=2√(17)`

Answer:

`2√(17)=8.246`