# How do you find the distance between the points (5, 1/4), (3,4)?

##### 2 Answers

May 24, 2018

#### Explanation:

#"to calculate the distance use 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)=(5,1/4)" and "(x_2,y_2)=(3,4)#

#d=sqrt((3-5)^2+(4-1/4)^2)#

#color(white)(d)=sqrt((-2)^2+(15/4)^2)#

#color(white)(d)=sqrt(4+225/16)#

#color(white)(d)=sqrt(64/16+225/16)#

#color(white)(d)=sqrt(289/16)=17/4=4.25#

May 24, 2018