Question

Find the distance between (-1,-2) and (8,9)

Answer 1

`√(202)` units or 14.2 units (rounded to the nearest tenth)

Explanation:

To find the distance between a pair of two points, use the distance formula
`d = √((x_2-x_1)^2+(y_2-y_1)^2)`. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

`d = √((-1-8)^2+(-2-9)^2) \\d = √((-9)^2+(-11)^2) \\d = √(81+121) \\d= √(202)`

So, as an exact answer, the distance is
`√(202)` units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)

Answer 2

14.2

Explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2