Question

Help me please. I need it

Answer 1

Answer/Step-by-step explanation:

Use the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`, to solve each problem.

1. Distance between A(0, 0) and B(-5, 7):

`(0, 0) = (x_1, y_1)`

`(-5, 7) = (x_2, y_2)`

`AB = √((-5 - 0)^2 + (7 - 0)^2) = √((-5)^2 + (7)^2) = √(25 + 49)`

`AB = √(74)`

2. Distance between A(-3, 1) and B(-11, 1):

`(-3, 1) = (x_1, y_1)`

`(-11, 1) = (x_2, y_2)`

`AB = √((-11 - (-3))^2 + (1 - 1)^2) = √((-8)^2 + (0)^2) = √(64 + 0)`

`AB = √(64) = 8`

3. Distance between A(-3, -2) and B(5, 6):

`(-3, -2) = (x_1, y_1)`

`(5, 6) = (x_2, y_2)`

`AB = √((5 - (-3))^2 + (6 - (-2))^2) = √((8)^2 + (8)^2) = √(64 + 64)`

`AB = √(128) = √(64*2)`

`AB = 8√(2)`

4. Distance between A(-2, -5) and B(-6, 1):

`(-2, -5) = (x_1, y_1)`

`(-6, 1) = (x_2, y_2)`

`AB = √((-6 - (-2))^2 + (1 - (-5))^2) = √((-4)^2 + (6)^2) = √(16 + 36)`

`AB = √(52)`

None of the choices are correct