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Question
Find the distance between the following points:
A(3, –4) and B(7, 0)
Sum
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Solution
Given: A(3, –4) and B(7, 0)
Use the distance formula
`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
x2 – x1 = 7 – 3
= 4
y2 – y1 = 0 – (–4)
= 4
`d = sqrt(4^2 + 4^2)`
= `sqrt(16 + 16)`
= `sqrt(32)`
= `4sqrt(2)`
The distance AB = `4sqrt(2)` units.
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