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3 years ago

Which expression can be used to determine the length of segment AB?

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = $\sqrt{(-2-4)^2+(1-3)^2}$

= $\sqrt{(-6)^2+(-2)^2}$

= $\sqrt{36+4}$

= $\sqrt{40}$

= $\sqrt{4(10)}$ = $\sqrt{4}$ × $\sqrt{10}$ = 2 $\sqrt{10}$ ← exact length

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We are given

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we get

$x=27.28199$

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