Question

Find the distance between the points (-1,-9) and (1,-4)

Answer 1

The distance between the two points is 5.4

Step-by-step explanation:

The points are (-1,-9) and (1,-4)

The distance between the two points can be determined using the formula

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

Substituting the values in the formula, we get,

`d=\sqrt{(1+1)^(2)+(-4+9)^(2)}`

Adding the values,

`d=\sqrt{2^(2)+5^(2)}`

Squaring the terms, we get,

`d=√(4+25)`

Simplifying, we have,

`d=√(29)=5.4`

Thus, the distance between the two points is 5.4