What is the distance between (1,5) and (2,-2)?

1 Answer
May 30, 2018

5sqrt2~~7.07" to 2 dec. places"

Explanation:

"calculate the distance using the "color(blue)"distance formula"

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

"let "(x_1,y_1)=(1,5)" and "(x_2,y_2)=(2,-2)

d=sqrt((2-1)^2+(-2-5)^2)

color(white)(d)=sqrt(1^2+(-7)^2)=sqrt(1+49)=sqrt50=5sqrt2~~7.07