Question

find the distance between the points (0, -3) and (4, 0).
a) 7
b) 1
c) 25
d) 5

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, \( x_1 = 0 \), \( y_1 = -3 \), \( x_2 = 4 \), \( y_2 = 0 \).

Step3: Substitute into formula

\( d = \sqrt{(4 - 0)^2 + (0 - (-3))^2} = \sqrt{4^2 + 3^2} \)

Step4: Calculate squares

\( \sqrt{16 + 9} = \sqrt{25} \)

Step5: Simplify square root

\( \sqrt{25} = 5 \)

Answer:

D) 5