Question

find the length of (overline{ad}). image of a coordinate grid with points a(2,2), b(-2,-1), c(-8,-7), d(-4,10) plotted

Explanation:

Step1: Identify coordinates of A and D

Point A is (2, 2) and point D is (-4, 10).

Step2: Apply distance formula

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
Substitute \(x_1 = 2\), \(y_1 = 2\), \(x_2 = -4\), \(y_2 = 10\) into the formula:
\[

$$\begin{align*} d&=\sqrt{(-4 - 2)^2 + (10 - 2)^2}\\ &=\sqrt{(-6)^2 + 8^2}\\ &=\sqrt{36 + 64}\\ &=\sqrt{100}\\ & = 10 \end{align*}$$

\]

Answer:

10