Question

The distance ABrounded to thenearest tenth = [?]-12BHint: Use the distance formula:d = (x2 – xı)2 + (y2 - yı)2

Answer 1

to find the distance between both points, we should first find the coordinates of each one.

From the picture, we can see that point A is located at (-1,2) and point B is located at (1,-2).

Recall that having points (a,b) and (c,d), the distance between them is given by the formula

`d=\sqrt[]{(a-c)^2+(b-d)^2}`

So, in our case we take a=-1,b=2, c=1 and d=-2. Thus, we get

`d=\sqrt[]{(-1-1)^2+(2-(-2))^2}=\sqrt[]{(-2)^2+(4)^2}=\sqrt[]{4+16}=\sqrt[]{20}`

Using a calculator, we get that

`d=2\cdot\sqrt[]{5}\approx4.472135`

which round to the nearest tenth is 4.5