What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.
Its 5
the distance between (a,b) and (c,d) is
√( (a-c)^2 + (b-d)^2 )
Plug in your numbers and evaluate
5.4
20
27
To find the distance between two points in a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2),
where (x1, y1) and (x2, y2) are the coordinates of the points.
In this case, F(2, 9) would be (x1, y1), and G(4, 14) would be (x2, y2).
Substituting the values into the distance formula:
d = √((4 - 2)^2 + (14 - 9)^2)
= √(2^2 + 5^2)
= √(4 + 25)
= √29
Now, rounding √29 to the nearest whole number gives us:
d = 5
Therefore, the distance between points F(2, 9) and G(4, 14) rounded to the nearest whole number is 5 units.