Determine the distance between $$ A(0,0) $$ and $$ B(4,3) $$

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To determine the distance between points $$ A(0, 0) $$ and $$ B(4, 3) $$, you can use the **distance formula**, which is derived from the Pythagorean theorem. The distance formula is given by:

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

**Step-by-Step Calculation:**

1. **Identify the coordinates:**
   - Point $$ A $$ has coordinates $$ (x_1, y_1) = (0, 0) $$.
   - Point $$ B $$ has coordinates $$ (x_2, y_2) = (4, 3) $$.

2. **Substitute the values into the distance formula:**

$$
\text{Distance} = \sqrt{(4 - 0)^2 + (3 - 0)^2}
$$

3. **Calculate the differences:**

$$
\text{Distance} = \sqrt{4^2 + 3^2} = \sqrt{16 + 9}
$$

4. **Add the squared differences:**

$$
\text{Distance} = \sqrt{25}
$$

5. **Take the square root:**

$$
\text{Distance} = 5
$$

**Conclusion:**

The distance between points $$ A(0, 0) $$ and $$ B(4, 3) $$ is **5 units**.
The distance between points $$ A(0,0) $$ and $$ B(4,3) $$ is 5 units.

Determine the distance between and

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