How do you find the distance between points (-3,5), (5,-3)?

Answer 1

To find the distance between two points, (-3,5) and (5,-3), you can use the distance formula. The distance formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates of the given points, we can substitute the values into the formula:

d = √((5 - (-3))^2 + (-3 - 5)^2)

Simplifying further:

d = √((8)^2 + (-8)^2)

d = √(64 + 64)

d = √128

d ≈ 11.31

Therefore, the distance between the points (-3,5) and (5,-3) is approximately 11.31 units.

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Answer 2

Use the formula for distance, see 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 given in the problem produces:

#d = sqrt((color(red)(5) - color(blue)(-3))^2 + (color(red)(-3) - color(blue)(5))^2)#
#d = sqrt((color(red)(5) + color(blue)(3))^2 + (color(red)(-3) - color(blue)(5))^2)#
#d = sqrt(8^2 + (-8)^2)#
#d = sqrt(64 + 64)#
#d = sqrt(128) = 11.314# rounded to the nearest thousandth.
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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.

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.

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.

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.

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