Find the distance CD rounded to the nearest tenth. C=(5,6) and D=(2,2) ?

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2 Answers
Feb 16, 2018

ved(CD) = color(green)(5ved(CD)=5

Explanation:

Distance between two points given by the formula

d = sqrt((x2-x1)^2 + (y2-y1)^2)d=(x2x1)2+(y2y1)2

vec(CD) = sqrt((5-2)^2+(6-2)^2)CD=(52)2+(62)2

vec(CD)= sqrt(3^2 + 4^2) = sqrt(25)CD=32+42=25

=> color(green)(55

CD= 5CD=5

Explanation:

Use the Distance Formula:

d= sqrt( (x_2-x_1)^2 + (y_2-y_1)^2)d=(x2x1)2+(y2y1)2

  1. Plug into formula
    d= sqrt( (5-2)^2 + (6-2)^2)d=(52)2+(62)2

  2. Solve
    d= sqrt((3)^2 + (4)^2)d=(3)2+(4)2
    => d= sqrt(9 + 16)d=9+16
    => d= sqrt(25)d=25
    => d = 5d=5