1 Answer

Mayur Borad · Answer 1 · 2021-06-03T01:55:31+0000

Answer:

$d=4√(5)\approx8.94$

Explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let (-1, -2) be (x₁, y₁) and let (-9, 2) be (x₂, y₂).

Substitute appropriately:

$d=\sqrt{(-9-(-1))^2+(2-(-2))^2$

Evaluate:

$d=\sqrt{(-8)^2+(4)^2$

Square and evaluate:

$d=√(64+16)=√(80)=4√(5)\approx8.94$

Therefore, the distance between the two points is approximately 8.94 units.

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