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What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?

User DonV
by
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2 Answers

12 votes

Final answer:

The distance between the points (8,4) and (3,2), using the distance formula, is approximately 5.4 units when rounded to the nearest tenth.

Step-by-step explanation:

To find the distance between two points, we use the distance formula which is derived from the Pythagorean theorem. The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by:

\[Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}\]

In this case, the points are (8,4) and (3,2). We plug these coordinates into the formula to get:

\[Distance = \sqrt{(3-8)^2 + (2-4)^2} = \sqrt{(-5)^2 + (-2)^2} = \sqrt{25 + 4} = \sqrt{29}\]

Now we approximate \(\sqrt{29}\) using a calculator:

Distance ≈ 5.4 (rounded to the nearest tenth)

Therefore, the distance between the points (8,4) and (3,2), rounded to the nearest tenth, is approximately 5.4 units.

User Teffi
by
7.7k points
1 vote

Step-by-step explanation:

the answer of this question is 5.39

User Mjaggard
by
8.3k points

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