Question

Coll

Answer 1

Answer:

The answer to your question is 5.7

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (-2, 7)

Process

To find the distance between points A and B use the formula of the distance between two points, substitute and simplify.

Formula

dAB = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$

-Identify wich is the value of x1, y1, x2, y2

        x1 = 2   y1 = 3  x2 = -2  y2 = 7

-Substittion

dAB = $\sqrt{(-2 - 2)^{2} + (7 - 3)^{2}}$

-Simplification

dAB = $\sqrt{(-4)^{2} + (4)^{2}}$

dAB = $\sqrt{16 + 16}$

dAB = $\sqrt{32}$

-Result

dAB = 5.65 ≈ 5.7