How do you find the distance between the points (0, 0), (5,12)?

Answer 1

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (0, 0) and the coordinates of the second point are (5, 12). Plugging these values into the distance formula, we get:

d = √((5 - 0)^2 + (12 - 0)^2)

Simplifying further:

d = √(5^2 + 12^2)

d = √(25 + 144)

d = √169

d = 13

Therefore, the distance between the points (0, 0) and (5, 12) is 13 units.

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Answer 2

Avery Alexander

The distance between the two points is #13#

The formula for calculating the distance between two points is:

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

Substituting the two given points from the problem let's us write:

#d = sqrt((5 - 0)^2 + (12 - 0)^2)#

We can now solve as follows:

#d = sqrt(5^2 + 12^2)#

#d = sqrt(25 + 144)#

#d = sqrt(169)#

#d = 13#

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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.