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

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

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Answer 1 · 2018-05-24T11:07:44

$17/4=4.25$

Explanation:

$"to calculate the distance use the "color(blue)"distance formula"$

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

$"let "(x_1,y_1)=(5,1/4)" and "(x_2,y_2)=(3,4)$

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

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

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

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

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

Answer 2 · 2018-05-24T11:09:47

$17/4$

Explanation:

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

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

$d^2 = 4 + 225/16$

$d = sqrt {289/16}$

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

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