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

Question

UpStudy AI · Accepted Answer

**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

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Geometry Questions