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).