Find the distance between the points $$ (0, 0) $$ and $$ (-5, 12) $$.

Question

UpStudy AI · Accepted Answer

To find the distance between the points $$ (0, 0) $$ and $$ (-5, 12) $$, we can use the **distance formula**:

$$
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
$$

Here, $$(x_1, y_1) = (0, 0)$$ and $$(x_2, y_2) = (-5, 12)$$. Plugging in these values:

$$
\text{Distance} = \sqrt{(-5 - 0)^2 + (12 - 0)^2} = \sqrt{(-5)^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13
$$

**Answer:** The distance between the points is $$13$$ units.
The distance between the points is 13 units.

Find the distance between the points \( (0, 0) \) and \( (-5, 12) \).