Find the distance between the pair of points.
and

Ask by Brooks Chan. in the United States

Jan 21,2025

Question

Find the distance between the pair of points. $$ \left(-6, \frac{4}{5}\right) $$ and $$ \left(6, \frac{4}{5}\right) $$

UpStudy AI · Accepted Answer

To find the distance between the two points $$ A = \left(-6, \frac{4}{5}\right) $$ and $$ B = \left(6, \frac{4}{5}\right) $$, we can use the **distance formula**:

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

Let's plug in the coordinates of points $$ A $$ and $$ B $$:

$$
x_1 = -6, \quad y_1 = \frac{4}{5} \
x_2 = 6, \quad y_2 = \frac{4}{5}
$$

Substitute these values into the formula:

$$
\text{Distance} = \sqrt{(6 - (-6))^2 + \left(\frac{4}{5} - \frac{4}{5}\right)^2}
$$

Simplify the terms inside the square root:

$$
\text{Distance} = \sqrt{(6 + 6)^2 + \left(0\right)^2} = \sqrt{12^2 + 0} = \sqrt{144} = 12
$$

**Answer:**  
The distance between the points is 12 units.
The distance between the points is 12 units.

Find the distance between the pair of points.
and

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