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What is the distance between #(-2,11)# and #(-11,15)#?

Answer 1

Ethan Adkins

See a solution process below:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(-11) - color(blue)(-2))^2 + (color(red)(15) - color(blue)(11))^2)#

#d = sqrt((color(red)(-11) + color(blue)(2))^2 + (color(red)(15) - color(blue)(11))^2)#

#d = sqrt((-9)^2 + 4^2)#

#d = sqrt(81 + 16)#

#d = sqrt(97)#

#d = 9.849# rounded to the nearest thousandth.

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Answer 2

Savannah Anderson

The distance between (-2,11) and (-11,15) is approximately 10.63 units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.