a) Which of the following is equivalent to the distance between the points (-5, 3) and (1, 2)? Select all that apply.?
a)
1) square root of (1+5)^2 + (2-3)^2
2) square root of (1-5)^2 + (2-3)^2
3) square root of 37
4) square root of 17
b) Which of the following is equivalent to the distance between the points (1, -6) and (-2, 4)?
1) 2 square root of 13
2) square root of 13
3) 4 square root of 2
4) square root of 109
回答 (2)
(a)
Distance between two points (x₁, y₁) and (x₂, y₂)
= √[(x₁ - x₂)² + (y₁ - y₂)²]
Distance between (-5, 3) and (1, 2)
= √[(1 + 5)² + (2 - 3)²]
= √[(6)² + (-1)²]
= √(36 + 1)
= √37
The answers:
1) √[(1 + 5)² + (2 - 3)²]
3) √37
====
b)
Which of the following is equivalent to the distance between the points (1, -6) and (-2, 4)?
Distance between (1, -6) and (-2, 4)
= √[(1 + 2)² + (-6 - 4)²]
= √[(3)² + (-10)²]
= √(9 + 100)
= √109
The answer: 4) √109
sqrt [(1 - (-5))^2 + (2 - 3)^2]
= sqrt [(1 + 5)^2 + (2 - 3)^2]
= sqrt 37
a. 1 & 3
(1, -6) and (-2, 4)
d = sqrt [(-2 - 1)^2 + (4 - (-6))^2]
= sqrt 109
b. 4
收錄日期: 2021-05-01 21:48:05
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