पrade $$ T .8 $$ Chechpoint: Applications of the Pphagorean theorem QwT Find the distance between the points $$ (5,-4) $$ and $$ (10,8) $$. If necessary, round your answer to the nearest tenth. units Sutmit

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**Step 1.** Recall the distance formula between two points $$(x_1,y_1)$$ and $$(x_2,y_2)$$:
$$
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.
$$

**Step 2.** Identify the coordinates:
$$
(x_1,y_1) = (5,-4) \quad \text{and} \quad (x_2,y_2) = (10,8).
$$

**Step 3.** Substitute the coordinates into the formula:
$$
\text{Distance} = \sqrt{(10 - 5)^2 + (8 - (-4))^2}.
$$

**Step 4.** Simplify the expressions inside the square root:
$$
\text{Distance} = \sqrt{5^2 + (8 + 4)^2} = \sqrt{25 + 12^2}.
$$

**Step 5.** Compute the squares:
$$
\text{Distance} = \sqrt{25 + 144} = \sqrt{169}.
$$

**Step 6.** Take the square root:
$$
\text{Distance} = 13.
$$

The distance between the points is $$13$$ units.
The distance between the points (5, -4) and (10, 8) is 13 units.

पrade \( T .8 \) Chechpoint: Applications of the Pphagorean theorem QwT Find the distance between the points \( (5,-4) \) and \( (10,8) \). If necessary, round your answer to the nearest tenth. units Sutmit

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