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Given points C(1, 2) and D(6,8) pictured below, which of the following is closest to the length of CD? (1) 6.5 (2) 6.8 (3) 7.3 (4) 7.8

1 Answer

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It is necessary to calculate the distance in between the points C and D, in order to determine which is the closest length. Use the following formula:

d = √((y2 - y1)²+(x2 - x1)²)

where (x1,y1) and (x2,y2) are the coordinates of the points.

In this case, you have:

(x1,y1) = C(1,2)

(x2,y2) = D(6,8)

replace the previous values of the parameters into the formula for d and simplify:

d = √((8 - 2)²+(6 - 1)²)

d = √((6)²+(5)²)

d = √(36 + 25)

d = √(61)

d ≈ 7.8

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