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Find the distance between the two points. (6,-5) and (-30,155)

User Lams
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1 Answer

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Final answer:

The distance between the two points (6,-5) and (-30,155) is found using the distance formula, resulting in a distance of 164 units.

Step-by-step explanation:

To find the distance between the two points (6,-5) and (-30,155), we use the distance formula derived from the Pythagorean theorem.

This formula is d = √((x2-x1)^2 + (y2-y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging the values into the formula, we perform the following steps:

Calculate the difference in the x-coordinates:

(-30) - (6) = -36.

Calculate the difference in the y-coordinates:

(155) - (-5) = 160.

Square both differences:

(-36)^2 = 1296 and (160)^2 = 25600.

Add the squares of the differences:

1296 + 25600 = 26896.

Take the square root of the sum:

√26896 = 164.

The distance between the two points is 164 units.

User Robfuscator
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