Distance of a point (-24, 7) from the origin (in units) is___________________.

Answer

To find the distance of the point (-24, 7) 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 1: Identify the coordinates
Let the coordinates of point A be \( (x_1, y_1) = (-24, 7) \) and the coordinates of point B (the origin) be \( (x_2, y_2) = (0, 0) \).

### Step 2: Substitute the coordinates into the distance formula
Now we substitute the coordinates into the distance formula:

\[ d = \sqrt{(0 - (-24))^2 + (0 - 7)^2} \]

### Step 3: Simplify the expression
This simplifies to:

\[ d = \sqrt{(0 + 24)^2 + (0 - 7)^2} \]
\[ d = \sqrt{24^2 + (-7)^2} \]

### Step 4: Calculate the squares
Now we calculate the squares:

\[ d = \sqrt{576 + 49} \]

### Step 5: Add the results
Adding these values gives:

\[ d = \sqrt{625} \]

### Step 6: Find the square root
Finally, we find the square root:

\[ d = 25 \]

### Conclusion
Thus, the distance of the point (-24, 7) from the origin is **25 units**.

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