Question

what is the distance between points f(6, 4) and g(14, 19)? round to the nearest whole number. distance =

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Assign values

Here, $x_1 = 6,y_1 = 4,x_2 = 14,y_2 = 19$. Substitute into the formula: $d=\sqrt{(14 - 6)^2+(19 - 4)^2}$.

Step3: Calculate differences

First, calculate $(14 - 6)=8$ and $(19 - 4)=15$. Then $d=\sqrt{8^2+15^2}$.

Step4: Calculate squares and sum

$8^2 = 64$ and $15^2=225$. So $d=\sqrt{64 + 225}=\sqrt{289}$.

Step5: Find square - root

$\sqrt{289}=17$.

Answer:

17