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Find the distance between the points G=(4,0) and M=(-2,5)

User Dan Scally
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Final answer:

To find the distance between two points G(4,0) and M(-2,5) in the Cartesian plane, we can use the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). Substituting the values and simplifying, the distance is approximately 7.81 units.

Step-by-step explanation:

To find the distance between two points in the Cartesian plane, we can use the distance formula. The distance formula is given by:

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

For the points G(4,0) and M(-2,5), we can substitute the values in the formula:

d = sqrt((-2 - 4)^2 + (5 - 0)^2)

Simplifying, we get:

d = sqrt((-6)^2 + (5)^2)

d = sqrt(36 + 25)

d = sqrt(61)

The distance between the points G and M is approximately 7.81 units (rounded to two decimal places).

User Tot
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