Mathematics: Find the distance between point a, (2,3) and point b, (-4,6) show your work by using the distance formula

Find the distance between point a, (2,3) and point

mjstew00763

10.01.2022

The distance is 7 (approximately).

Step-by-step explanation:

Given:

Point A, (2,3) and point B, (-4,6).

Now, to find the distance between the points using the formula:

Let A = (2,3) be $(x_{1}, y_{1})$ and B = (-4,6) be $(x_{2}, y_{2})$ and d = distance.

Putting the distance formula to find:

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

$d=\sqrt{(-4-2)^{2} +(6-3)^{2}}$

$d=\sqrt{(-6)^{2} +(3)^{2}}$

$d=\sqrt{36 +9}$

$d=\sqrt{45}$

d=6.71

Distance = 6.71

Therefore, the distance is 7 (approximately).

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