Question

1. given the graph below, find pq. round to the nearest hundredth.

Explanation:

Step1: Identify coordinates of P and Q

From the graph, let's assume each grid square has side length 1. Let's find the coordinates:

• Point P: Let's say it's at \((-3, -3)\) (by counting the grid squares from the origin)
• Point Q: Let's say it's at \((2, 2)\) (by counting the grid squares from the origin)

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 \(x_1 = -3\), \(y_1 = -3\), \(x_2 = 2\), \(y_2 = 2\)
\(d = \sqrt{(2 - (-3))^2 + (2 - (-3))^2}\)
\(d = \sqrt{(5)^2 + (5)^2}\)
\(d = \sqrt{25 + 25}\)
\(d = \sqrt{50}\)
\(d \approx 7.07\) (rounded to the nearest hundredth)

Answer:

\(7.07\)