Question

Distance Formula D=√(x2-x1)² + (y2 - y₁) ² a. 8.149 b. 8.84 c. 9.438 d.12.369 ​

Answer 1

d

Explanation:

using the distance formula

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

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (10, 1 )

d =
`√(10-(-2))^2+(1-4)^2)`

=
`√((10+2)^2+(-3)^2)`

=
`√(12^2+9)`

=
`√(144+9)`

=
`√(153)`

≈ 12.369