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How do you find the distance between (-4,-3), (1,4)?

Answer 1

Avery Alexander

To find the distance between two points, (-4,-3) and (1,4), you can use the distance formula. The formula is:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Plugging in the coordinates, the distance between the two points is:

Distance = √[(1 - (-4))^2 + (4 - (-3))^2] = √[5^2 + 7^2] = √[25 + 49] = √74

Therefore, the distance between (-4,-3) and (1,4) is √74.

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Answer 2

Eva Abramson

See the entire 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)(1) - color(blue)(-4))^2 + (color(red)(4) - color(blue)(-3))^2)#

#d = sqrt((color(red)(1) + color(blue)(4))^2 + (color(red)(4) + color(blue)(3))^2)#

#d = sqrt(5^2 + 7^2)#

#d = sqrt(25 + 49)#

#d = sqrt(74) = 8.602# 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.