Darko found the distance between points A(3,-4) and B(-1,3) his work is shown below

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Riia Riia · Answer 1 · 2018-09-02T08:20:50+02:00

In this question , Darko have to find the distance between A(3,-4) and B (-1,3) .

He uses the correct formula, which is

[tex] d = \sqrt{ (x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} [/tex]

And on substituting the values , we will get

[tex] d = \sqrt{ (-1-3)^2 + (3- (-4))^2 } [/tex]

And in this line, Darko did the mistake .

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eudora eudora · Answer 2 · 2019-09-18T00:20:15+02:00

Answer:

Darko has done a mistake in step 1. which putting the values of y coordinates of A and B in the formula.

Step-by-step explanation:

Distance between the two points is calculated by the formula

d = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

Since coordinates of the two points have been given as A(3, -4) and B(-1, 3).

Therefore, we can calculate the distance between these points by plugging in the values.

Distance AB = [tex]\sqrt{(-3-1)^{2}+(3+4)^{2}}[/tex]

= [tex]\sqrt{(-4)^{2}+(7)^{2}}[/tex]

= [tex]\sqrt{16+49}[/tex]

= [tex]\sqrt{65}[/tex]

= 8.06 unit

Darko has made a mistake while replacing the values in the formula in step 1.