Question

Distance between (-14,-11) (-2,5)

Answer 1

20 units.

Explanation:

To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The distance between two points (x1, y1) and (x2, y2) is given by:

`\[d = √((x2 - x1)^2 + (y2 - y1)^2)\]`

In this case, the two points are (-14, -11) and (-2, 5). Plug these coordinates into the formula:

`\[d = √((-2 - (-14))^2 + (5 - (-11))^2)\]`

Simplify inside the square root:

`\[d = √((-2 + 14)^2 + (5 + 11)^2)\]`

Now, perform the arithmetic operations inside the square root:

`\[d = √((12)^2 + (16)^2)\]`

`\[d = √(144 + 256)\]`

`\[d = √(400)\]`

Now, take the square root of 400:

`\[d = 20\]`

So, the distance between the points (-14, -11) and (-2, 5) is 20 units.