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

2 Answers
May 24, 2018

Answer:

#17/4=4.25#

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

Answer:

#17/4#

Explanation:

#dist( [a, b], (x, y) ) = sqrt{(x - a)^2 + (y - b)^2}#

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

#d^2 = 4 + 225/16#

#d = sqrt {289/16}#