The distance between two points in a plane can be calculated using the distance formula derived from the Pythagorean theorem. The distance between points M(x1, y1) and N(x2, y2) is given by:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Given the points M(-5, -3) and N(2, 3), we can substitute these values into the formula:

d = sqrt[(2 - (-5))^2 + (3 - (-3))^2]
d = sqrt[(2 + 5)^2 + (3 + 3)^2]
d = sqrt[(7)^2 + (6)^2]
d = sqrt[(49) + (36)]
d = sqrt[85]

So, the distance between points M and N is sqrt[85] or approximately 9.21 units.

Question

The distance between two points in a plane can be calculated using the distance formula derived from the Pythagorean theorem. The distance between points M(x1, y1) and N(x2, y2) is given by:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Given the points M(-5, -3) and N(2, 3), we can substitute these values into the formula:

d = sqrt[(2 - (-5))^2 + (3 - (-3))^2]
d = sqrt[(2 + 5)^2 + (3 + 3)^2]
d = sqrt[(7)^2 + (6)^2]
d = sqrt[(49) + (36)]
d = sqrt[85]

So, the distance between points M and N is sqrt[85] or approximately 9.21 units.

Knowee AI · Accepted Answer

The distance between two points in a plane can be calculated using the distance formula derived from the Pythagorean theorem. The distance between points M(x1, y1) and N(x2, y2) is given by:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Given the points M(-5, -3) and N(2, 3), we can substitute these values into the formula:

d = sqrt[(2 - (-5))^2 + (3 - (-3))^2]
d = sqrt[(2 + 5)^2 + (3 + 3)^2]
d = sqrt[(7)^2 + (6)^2]
d = sqrt[(49) + (36)]
d = sqrt[85]

So, the distance between points M and N is sqrt[85] or approximately 9.21 units.

Which expression shows how to find the distance between points M(-5, -3) and N(2, 3)?Group of answer choices9.210.337

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Which expression shows how to find the distance between points M(-5, -3) and N(2, 3)?

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