Question

finding the distance from the origin
find the distance between the points $(a,0)$ and $(0,b)$.
$sqrt{(a - b)^2}$
$sqrt{a^2 + b^2}$
$sqrt{(a + b)^2}$
$sqrt{a^2 - b^2}$

Explanation:

Step1: Recall the 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 the coordinates

Here, \((x_1,y_1)=(a,0)\) and \((x_2,y_2)=(0,b)\).

Step3: Substitute into the formula

Substitute \(x_1 = a,y_1 = 0,x_2 = 0,y_2 = b\) into the distance formula:

$$
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Answer:

\(\sqrt{a^2 + b^2}\)