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mars1129 [50]
3 years ago
15

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

Mathematics
2 answers:
alex41 [277]3 years ago
4 0

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

He uses the correct formula, which is

d = \sqrt{ (x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}

And on substituting the values , we will get

d = \sqrt{ (-1-3)^2 + (3- (-4))^2 }

And in this line, Darko did the mistake .


Sever21 [200]3 years ago
3 0

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 = \sqrt{(x-x')^{2}+(y-y')^{2}}

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 = \sqrt{(-3-1)^{2}+(3+4)^{2}}

                     = \sqrt{(-4)^{2}+(7)^{2}}

                     = \sqrt{16+49}

                     = \sqrt{65}

                     = 8.06 unit

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

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