Find the distance of point `(-5, 12)` from the origin.

Answer

To find the distance of the point \((-5, 12)\) from the origin \((0, 0)\), we can use the distance formula. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

### Step-by-step Solution:

1. **Identify the points**:
- Let \(A = (-5, 12)\) (the given point).
- Let \(B = (0, 0)\) (the origin).

2. **Assign coordinates**:
- Here, \(x_1 = -5\), \(y_1 = 12\) (coordinates of point A).
- And \(x_2 = 0\), \(y_2 = 0\) (coordinates of point B).

3. **Substitute into the distance formula**:
\[ d = \sqrt{(0 - (-5))^2 + (0 - 12)^2} \]

4. **Simplify the expression**:
- Calculate \(0 - (-5) = 0 + 5 = 5\).
- Calculate \(0 - 12 = -12\).
- Substitute these values back into the formula:
\[ d = \sqrt{(5)^2 + (-12)^2} \]

5. **Calculate the squares**:
- \(5^2 = 25\)
- \((-12)^2 = 144\)

6. **Add the squares**:
\[ d = \sqrt{25 + 144} = \sqrt{169} \]

7. **Find the square root**:
\[ d = 13 \]

### Final Answer:
The distance of the point \((-5, 12)\) from the origin is \(13\).