How do you find the distance between points (6,-9), (9,-9)?

Answer 1

To find the distance between two points, 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)

Using the given points (6, -9) and (9, -9), we can substitute the coordinates into the formula:

d = √((9 - 6)^2 + (-9 - (-9))^2)

Simplifying further:

d = √(3^2 + 0^2)

d = √(9 + 0)

d = √9

d = 3

Therefore, the distance between the points (6, -9) and (9, -9) is 3 units.

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Answer 2

Kennedy Adams

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)(9) - color(blue)(6))^2 + (color(red)(-9) - color(blue)(-9))^2)#

#d = sqrt(3^2 + 0^2)#

#d = sqrt(9 + 0)#

#d = sqrt(9)#

#d = 3#

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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.