Question

question 3 (mandatory) (1 point) find the distance between the points (3, -4) and (9, 4). a) 100 b) 64 c) 10 d) 6 e) √10

Explanation:

Step1: Recall distance formula

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

Step2: Identify coordinates

Here, \( x_1 = 3 \), \( y_1 = -4 \), \( x_2 = 9 \), \( y_2 = 4 \).

Step3: Substitute into formula

Calculate \( x_2 - x_1 = 9 - 3 = 6 \) and \( y_2 - y_1 = 4 - (-4) = 8 \).
Then, \( d = \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \).

Answer:

c) 10