Mathematics: Find the distance between the pair of points. (2, -2), (-5, -2

Find the distance between the pair of points. (2,

bncook

30.05.2021

7 units

Step-by-step explanation:

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

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

Plug in what you know.

$d = \sqrt{(-5 - 2)^2 + (-2 - (-2))^2 }$

Evaluate the double negative.

$d = \sqrt{(-5 - 2)^2 + (-2 + 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(-7)^2 + (0)^2 }$

Evaluate the exponents.

$d = \sqrt{(49) + (0) }$

Add.

$d = \sqrt{(49)$

Evaluate the radical.

d = ±7

Since distance cannot be negative, our answer is 7.

The distance between the two points is 7 units.

Hope this helps!

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