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Find the distance CD rounded to the nearest tenth
C=(10,-1) and D=(-6,3)

User Jaege
by
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1 Answer

5 votes

Answer:

CD = 16.5

Explanation:

To find the distance between two points, use this formula:
L = \sqrt{(x_(2) -x_(1))^(2)+(y_(2) -y_(1))^(2) }

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula


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


CD = \sqrt{(-6 -10)^(2)+(3 -(-1))^(2) } Simplify inside each bracket


CD = \sqrt{(-16)^(2)+(4)^(2) } Square the numbers


CD = √(256+16 ) Add inside the root


CD = √(272) Enter into calculator


CD = 16.5 Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

User Sumit Shukla
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8.3k points

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