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Trava [24]
1 year ago
12

Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)

Mathematics
1 answer:
marusya05 [52]1 year ago
4 0

Answer:

The distance between A and D to the nearest tenth is;

9.8\text{ units}

Explanation:

Given the two points;

A(6,2)\text{ and D(-3,-2)}

Applying the distance between two points formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

substituting the given coordinates we have;

\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}

Simplifying;

\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}

Therefore, the distance between A and D to the nearest tenth is;

9.8\text{ units}

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