Answer:
19.41 units
Step-by-step explanation:
<u>Given coordinates of points;</u>
- (-10, 9)
- (-6, -10)
To determine the distance between the two points, the distance formula is required. The distance formula is used where it is not possible to calculate the distance through a straight line. The distance formula is expressed as,
- ⇒
The distance between the two points can be determined by plugging the coordinates into the formula;
- ⇒
- ⇒
Then, we can simplify the root as needed to determine the distance;
- ⇒
- ⇒
- ⇒
- ⇒
Finally, we need to convert the root into decimals (stated in question). It is impossible to determine the root in decimal form. Therefore, I used a calculator to determine the distance in decimal form.
- ⇒
≈ 19.41 units [Using calculator]
Therefore, the distance between the two points is about 19.41 units.