Question

current learning objective: using the distance formula
question 5
score: 0 of 1 point
find the distance between the points (42, 60) and (-38, 21)
distance = enter your answer

Explanation:

Step1: Identify distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 42$, $y_1=60$, $x_2=-38$, $y_2 = 21$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$.
$x_2 - x_1=-38 - 42=-80$.
$y_2 - y_1=21 - 60=-39$.

Step3: Square the differences

$(x_2 - x_1)^2=(-80)^2 = 6400$.
$(y_2 - y_1)^2=(-39)^2 = 1521$.

Step4: Sum the squared - differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=6400 + 1521=7921$.

Step5: Take the square - root

$d=\sqrt{7921}=89$.

Answer:

89