Question

smentWhat is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.Distance =

Answer 1

ANSWER

Distance = 5

EXPLANATION

The distance between two numbers (x₁, y₁) and (x₂, y₂) is,

$d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}$

In this case, the points are (2, 9) and (4, 14),

$d=\sqrt[]{(2-4)^2+(9-14)^2}=\sqrt[]{(-2)^2+(-5)^2}=\sqrt[]{4+25}=\sqrt[]{29}\approx5$

Hence, the distance between point F and point G is 5 units.