How do you find the distance between (-2,3), (-1,7)?

Answer 1

To find the distance between two points, (-2,3) and (-1,7), you can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we have:

d = √((-1 - (-2))^2 + (7 - 3)^2)

Simplifying further:

d = √((1)^2 + (4)^2)

d = √(1 + 16)

d = √17

Therefore, the distance between (-2,3) and (-1,7) is √17.

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Answer 2

Avery Alexander

#sqrt(17)#

Think of the two points as two of the points on a triangle, with the hypotenuse between them.

The height of the triangle will be #mod(y_1 - y_2) = 4#.
The base of the triangle will be #mod(x_1 - x_2) = 1#.

Therefore, the hypotenuse, and by extension the distance between the points is:
#sqrt(4^2 + 1^2)#
=#sqrt(16 + 1)#
=#sqrt(17)#

Note: #mod# just means that a negative result becomes positive.

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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.