The distance of the point P(-6,8) from the origin is

Options

A. 8
B. `2sqrt(7)`
C. 10
D. 6

Explanation

To find the distance of the point P(-6, 8) from the origin (0, 0), we can use the distance formula. The distance \( d \) from a point \( A(x, y) \) to the origin is given by the formula:

\[ d = \sqrt{x^2 + y^2} \]

### Step-by-Step Solution:

1. **Identify the coordinates of point P**:
The coordinates of point P are \( x = -6 \) and \( y = 8 \).

2. **Substitute the coordinates into the distance formula**:
\[ d = \sqrt{(-6)^2 + (8)^2} \]

3. **Calculate the squares of the coordinates**:
\[ (-6)^2 = 36 \quad \text{and} \quad (8)^2 = 64 \]

4. **Add the squares**:
\[ 36 + 64 = 100 \]

5. **Take the square root of the sum**:
\[ d = \sqrt{100} = 10 \]

6. **Conclusion**:
The distance of point P from the origin is \( 10 \) units.

### Final Answer:
The distance of the point P(-6, 8) from the origin is \( 10 \) units.

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