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 =
`√(64+49)`

AB =
`√(113)`

AB = 10.630 units

By rounding to the nearest hundredth, we get

Distance between A and B = 10.63 units.