Answer:
19.41 units
Step-by-step explanation:
Given coordinates of points;
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,
- ⇒ [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }[/tex]
The distance between the two points can be determined by plugging the coordinates into the formula;
- ⇒ [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }[/tex]
- ⇒ [tex]\sqrt{[-6 - (-10)]^{2} + [-10 - 9]^{2} }[/tex]
Then, we can simplify the root as needed to determine the distance;
- ⇒ [tex]\sqrt{[-6 + 10]^{2} + [-19]^{2} }[/tex]
- ⇒ [tex]\sqrt{[4]^{2} +361 }[/tex]
- ⇒ [tex]\sqrt{16 +361 }[/tex]
- ⇒ [tex]\sqrt{377}[/tex]
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.
- ⇒ [tex]\sqrt{377}[/tex] ≈ 19.41 units [Using calculator]
Therefore, the distance between the two points is about 19.41 units.
