Question

find the distance between the points (-98,53) and (-70,8)
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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, $x_1=-98$, $y_1 = 53$, $x_2=-70$, $y_2 = 8$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=-70-(-98)=-70 + 98=28$, $y_2 - y_1=8 - 53=-45$.

Step3: Square the differences

$(x_2 - x_1)^2=28^2 = 784$ and $(y_2 - y_1)^2=(-45)^2=2025$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=784 + 2025=2809$.

Step5: Take the square - root

$d=\sqrt{2809}=53$.

Answer:

$53$