Question

Please help and show the steps

Answer 1

Answer: The answer is 2.8

Explanation:

(1,-1)(3,-3) (those are the points shown in the graph)

The formula for finding distance is √(x2-x1)^2+(y2-y1)^2

= √(3-1)^2+(-3-(-1)^2

= √(2)^2+(-3+1)^2

= √4+(-2)^2

= √4+4

= √8

=2.828427125 (to the nearest tenth)

Answer 2

≈ 2.8 units

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (3, - 3)

d =
`√((3-1)^2+(-3+1)^2)`

=
`√(2^2+(-2)^2)`

=
`√(4+4)`

=
`√(8)` ≈ 2.8 ( to the nearest tenth )