Question

1. find the distance between points p(2, 2) and q(7, 4) to the nearest tenth.

○ 7
○ 4.5
○ 10.8
○ 5.4

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 \(P(2,2)\) and \(Q(7,4)\), we have \(x_1 = 2\), \(y_1 = 2\), \(x_2 = 7\), \(y_2 = 4\).

Step3: Substitute into formula

Substitute the values into the formula: \(d=\sqrt{(7 - 2)^2+(4 - 2)^2}=\sqrt{5^2+2^2}=\sqrt{25 + 4}=\sqrt{29}\).

Step4: Calculate and round

\(\sqrt{29}\approx5.385\), which rounds to \(5.4\) to the nearest tenth.

Answer:

5.4