Question

What is the distance between points A (7,3) and B (5,-1)?1) √102) √123) √144) √20

Answer 1

Given the points:

`\begin{gathered} A(7,3) \\ B(5,-1) \end{gathered}`

You can use the formula for calculating the distance between two points:

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

Where the points are:

`\begin{gathered} (x_1,y_1)_{} \\ (x_2,y_2) \end{gathered}`

In this case, you can set up that:

`\begin{gathered} x_2=x_B=5 \\ x_1=_{}x_A=7 \\ y_2=y_B=-1 \\ y_1=x_A=3_{} \end{gathered}`

Then, substituting values into the formula and evaluating, you get:

`d_(AB)=\sqrt[]{(5-7)^2+(-1-3)^2}=\sqrt[]{(-2)^2+(-4)^2}=\sqrt[]{4+16}=\sqrt[]{20}`

Therefore, the answer is: Option 4.