Question

Full explanation please, I will mark brainlist if correct

Answer 1

Answer:

19.41 units

Step-by-step explanation:

Given coordinates of points;

• (-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,

• ⇒ $\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }$

The distance between the two points can be determined by plugging the coordinates into the formula;

• ⇒ $\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }$
• ⇒ $\sqrt{[-6 - (-10)]^{2} + [-10 - 9]^{2} }$

Then, we can simplify the root as needed to determine the distance;

• ⇒ $\sqrt{[-6 + 10]^{2} + [-19]^{2} }$
• ⇒ $\sqrt{[4]^{2} +361 }$
• ⇒ $\sqrt{16 +361 }$
• ⇒ $\sqrt{377}$

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.

• ⇒ $\sqrt{377}$ ≈ 19.41 units [Using calculator]

Therefore, the distance between the two points is about 19.41 units.