Respuesta :

Answer:

20

Step-by-step explanation:

Use the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-7 - 5)^2 + (-7 - 9)^2}\\d = \sqrt{(-12)^2 + (-16)^2}\\d = \sqrt{144 + 256}\\d = \sqrt{400} = 20[/tex]

The distance between the points (5,9) and (-7,-7) will be 20 units.

What is the distance between two points?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²  

The points are given below.

(5,9) and (-7,-7)

Then the distance between the points will be

D² = (5 + 7)² + (9 + 7)²  

D² = 12² + 16²  

D² = 144 + 256

D² = 400

D = 20 units

Learn more about the distance between two points here:

brainly.com/question/16410393

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