Find the distance between these two points: (8,2) and (-6,5).&nbsp; Round your answer to two decimal places as necessary&nbsp;&nbsp;

To find the distance between two points, we can use the distance formula. Given the coordinates of the two points as (8, 2) and (-6, 5), let's calculate the distance using the formula:d=(x2−x1)2+(y2−y1)2Substituting the coordinates, we have:d=((−6)−8)2+(5−2)2Simplifying the equation:d=(−14)2+32d=196+9d=205Rounding the answer to two decimal places, the distance between the two points is approximately 205≈14.32.Therefore, the distance between the points (8, 2) and (-6, 5) is approximately 14.32 units.

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High School
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High school geometry
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Ruby Torres

Answered question

2022-06-16

Find the distance between these two points: (8,2) and (-6,5). Round your answer to two decimal places as necessary

Answer & Explanation

nick1337

Expert2023-05-21Added 777 answers

To find the distance between two points, we can use the distance formula. Given the coordinates of the two points as (8, 2) and (-6, 5), let's calculate the distance using the formula:

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

Substituting the coordinates, we have:

d = \sqrt{((- 6) - 8)^{2} + (5 - 2)^{2}}

Simplifying the equation:

d = \sqrt{(- 14)^{2} + 3^{2}}

d = \sqrt{196 + 9}

d = \sqrt{205}

Rounding the answer to two decimal places, the distance between the two points is approximately

\sqrt{205} \approx 14.32

.
Therefore, the distance between the points (8, 2) and (-6, 5) is approximately 14.32 units.

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