Question

question 4
what is the distance between the points (8, 5) and (-7, 13) rounded to the nearest whole number?
8 units
28 units
32 units
17 units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 8,y_1 = 5,x_2=-7,y_2 = 13$.

Step2: Calculate differences

First, find $x_2 - x_1=-7 - 8=-15$ and $y_2 - y_1=13 - 5 = 8$.

Step3: Square the differences

$(x_2 - x_1)^2=(-15)^2 = 225$ and $(y_2 - y_1)^2=8^2 = 64$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=225 + 64=289$.

Step5: Calculate the square - root

$d=\sqrt{289}=17$.

Answer:

D. 17 units