Question

1. what is the distance between the points m(-8,11) and n(3,7)?

19.4
18.7
10.2
11.7

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, $x_1=-8,y_1 = 11,x_2=3,y_2 = 7$. So $x_2 - x_1=3-(-8)=11$ and $y_2 - y_1=7 - 11=-4$.

Step3: Calculate squares and sum

$(x_2 - x_1)^2=11^2 = 121$ and $(y_2 - y_1)^2=(-4)^2 = 16$. The sum is $121+16=137$.

Step4: Calculate square - root

$d=\sqrt{137}\approx11.7$.

Answer:

11.7