Question

find: ab; 5√13; given: w(-2, 8), x(-9, 3); find: wx; √74; 3√7; √146

Explanation:

Step1: Recall distance formula

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Step2: Identify coordinates

For points \(W(-2, 8)\) and \(X(-9, 3)\), we have \(x_1=-2\), \(y_1 = 8\), \(x_2=-9\), \(y_2 = 3\).

Step3: Substitute into formula

Substitute the values into the distance formula:
\[

$$\begin{align*} WX&=\sqrt{(-9 - (-2))^2 + (3 - 8)^2}\\ &=\sqrt{(-9 + 2)^2 + (-5)^2}\\ &=\sqrt{(-7)^2 + (-5)^2}\\ &=\sqrt{49 + 25}\\ &=\sqrt{74} \end{align*}$$

\]

Answer:

\(\sqrt{74}\)