Question

Use the distance formula to find the distance between (−8, 2.5) and (0, −4.5). 1. Substitute coordinates: 2. Simplify parentheses: 3. Evaluate powers: 4. Simplify. What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth. d ≈

Answer 1

Your answer is the second choice 10.63

Answer 2

We have to use the distance formula to find the distance between (−8, 2.5) and (0, −4.5).

The distance formula states:

" For the given points $A(x_{1},y_{1})$ and$B(x_{2},y_{2})$, the distance between A and B is given as:

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

We have to find distance between (−8, 2.5) and (0, −4.5). So, $x_{1}= -8, y_{1}= 2.5 , x_{2}=0 , y_{2}=-4.5$

AB = $\sqrt{(0+8)^{2}+(-4.5-2.5)^{2}}$

AB = $\sqrt{64+49}$

AB = $\sqrt{113}$

AB = 10.630 units

By rounding to the nearest hundredth, we get

Distance between A and B = 10.63 units.