Question

what is the distance between (0,0) and (3,4)?
a. 5
b. 4
c. 3
d. 2
e. 1

Explanation:

Step1: Use distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1 = 0,y_1 = 0,x_2=3,y_2 = 4\).

Step2: Substitute values

Substitute into the formula: \(d=\sqrt{(3 - 0)^2+(4 - 0)^2}=\sqrt{3^2+4^2}\).

Step3: Calculate

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

Step4: Simplify

\(\sqrt{25}=5\).

Answer:

A. 5