what is the distance between points f(2,9) and g(4,14)? Round to the nearest whole number.
distance formula ... (4 - 2)^2 + (14 - 9)^2 = d^2
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the length of the line segment connecting the two points.
The formula to find the distance between two points, (x1, y1) and (x2, y2), is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point f are (2, 9) and the coordinates of point g are (4, 14). Plugging these values into the distance formula, we get:
d = sqrt((4 - 2)^2 + (14 - 9)^2)
= sqrt(2^2 + 5^2)
= sqrt(4 + 25)
= sqrt(29)
Now, to round the distance to the nearest whole number, we round the square root of 29 to the nearest whole number:
sqrt(29) ≈ 5.39
Rounding 5.39 to the nearest whole number gives us:
d ≈ 5
Therefore, the distance between points f(2, 9) and g(4, 14) is approximately 5 units.