James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (-4,6). Find the distance between their seats. A. 4√ 17 units B. 16 units C. 4√ 2 units D. 4 units

Question

Mathematics

Coco Chanel

10 July, 06:09

James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (-4,6). Find the distance between their seats. A. 4√ 17 units B. 16 units C. 4√ 2 units D. 4 units

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Answers (1)

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Bryce · Answer 1

4√2 units (Answer C).

Step-by-step explanation:

Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units. We need to use the distance formula to determine how far apart these seats are.

d = √ (change in x) ^2 + (change in y) ^2).

That works out to:

d = √ (4^2 + 4^2) = √ (32) = 4√2 units (Answer C).