Question

What is the distance between the following points ?

Answer 1

`√(17)`

Explanation:

The distance formula between two points is
`\sqrt{(x_(2) - x_(1))^(2) +(y_(2)-y_(1))^2 }`.

The points given are (2,4) and (6,-5). Now we substitute values for x₂, x₁, y₂, and y₁. (Remember: x₂ is the x-value of the second point, and x₁ is the x-value for the first point, and so on.)

Once substituted, we get:
`√((6-2)^2+(-5+4)^2)`.

1.)
`√((4)^2+(-1)^2)`

2.)
`√(16+1)`

3.)
`√(17)`

**4.) 4.123

**Optional step

Answer 2

`√(97) \\`

Explanation:

9^2 + 4^2 = X^2

81+16 = x^2

x^2 = 97

x =
`√(97) \\`