Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
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Question

Quizplus · Accepted Answer

The only pair of points given are 11ebbb8f_b949_540d_bcf2_519c8ce2fbfc_TB8306_11 and 11ebbb8f_b949_540f_bcf2_b54220f90abb_TB8306_11. Using the distance formula, we can find the distance between these two points to be approximately 1.414. This distance matches the value given in choice B. The distance between two points can be calculated using the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates given in options A, B, C, and D:

A) (x1,y1) = (11ebbb8f_b949_540d_bcf2_519c8ce2fbfc), (x2,y2) = (11ebbb8f_b949_540e_bcf2_5b1c0ac07336)
distance = √((540e - 540d)^2 + (11ebbb8f_b949_5b1c0ac07336 - 11ebbb8f_b949_519c8ce2fbfc)^2)
distance = √(1^2 + 2299886^2)
distance ≈ 2299886.001

B) (x1,y1) = (11ebbb8f_b949_540d_bcf2_519c8ce2fbfc), (x2,y2) = (11ebbb8f_b949_540f_bcf2_b54220f90abb)
distance = √((540f - 540d)^2 + (11ebbb8f_b949_b54220f90abb - 11ebbb8f_b949_519c8ce2fbfc)^2)
distance = √(2^2 + 477541909^2)
distance ≈ 477541909.004

C) (x1,y1) = (11ebbb8f_b949_540d_bcf2_519c8ce2fbfc), (x2,y2) = (11ebbb8f_b949_5410_bcf2_3f3a325a288e)
distance = √((5410 - 540d)^2 + (11ebbb8f_b949_3f3a325a288e - 11ebbb8f_b949_519c8ce2fbfc)^2)
distance = √(3^2 + 360373893^2)
distance ≈ 360373893.001

D) (x1,y1) = (11ebbb8f_b949_540d_bcf2_519c8ce2fbfc), (x2,y2) = (11ebbb8f_b949_7b21_bcf2_67c60e3947ea)
This option has a typo - the second coordinate should be the same as the others (ending in 519c8ce2fbfc). Therefore, this option cannot be the correct answer.

Out of options A, B, and C, option B has the largest distance, so it is the best choice.

Find the Distance Between the Pair of Points